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Finding the Fourth Proportional to 509,347.80, 764,175.30 and 272,803.80

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Solution

The fourth proportional to 509,347.80, 764,175.30 and 272,803.80 is: 409,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,347.80 : 764,175.30 = 272,803.80 : x
  2. Step 2: Convert to fraction form
    509,347.80/764,175.30 = 272,803.80/x
  3. Step 3: Cross multiply
    509,347.80x = 764,175.30 × 272,803.80
  4. Step 4: Simplify right side
    509,347.80x = 208,469,925,706.14
  5. Step 5: Solve for x
    x = 208,469,925,706.14/509,347.80
  6. Step 6: Final answer
    x = 409,287.97

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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.