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Finding the Fourth Proportional to 509,808.20, 764,021.10 and 340,848.20

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Solution

The fourth proportional to 509,808.20, 764,021.10 and 340,848.20 is: 510,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,808.20 : 764,021.10 = 340,848.20 : x
  2. Step 2: Convert to fraction form
    509,808.20/764,021.10 = 340,848.20/x
  3. Step 3: Cross multiply
    509,808.20x = 764,021.10 × 340,848.20
  4. Step 4: Simplify right side
    509,808.20x = 260,415,216,697.02
  5. Step 5: Solve for x
    x = 260,415,216,697.02/509,808.20
  6. Step 6: Final answer
    x = 510,810.18

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Double scale
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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.