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Finding the Fourth Proportional to 453,807.70, 680,711.55 and 433,140.55

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Solution

The fourth proportional to 453,807.70, 680,711.55 and 433,140.55 is: 649,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,807.70 : 680,711.55 = 433,140.55 : x
  2. Step 2: Convert to fraction form
    453,807.70/680,711.55 = 433,140.55/x
  3. Step 3: Cross multiply
    453,807.70x = 680,711.55 × 433,140.55
  4. Step 4: Simplify right side
    453,807.70x = 294,843,775,158.35
  5. Step 5: Solve for x
    x = 294,843,775,158.35/453,807.70
  6. Step 6: Final answer
    x = 649,710.83

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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.