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Finding the Fourth Proportional to 509,405.40, 764,108.10 and 273,209.40

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Solution

The fourth proportional to 509,405.40, 764,108.10 and 273,209.40 is: 409,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,405.40 : 764,108.10 = 273,209.40 : x
  2. Step 2: Convert to fraction form
    509,405.40/764,108.10 = 273,209.40/x
  3. Step 3: Cross multiply
    509,405.40x = 764,108.10 × 273,209.40
  4. Step 4: Simplify right side
    509,405.40x = 208,761,515,536.14
  5. Step 5: Solve for x
    x = 208,761,515,536.14/509,405.40
  6. Step 6: Final answer
    x = 409,814.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.