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Finding the Fourth Proportional to 524,336.30, 785,338.05 and 431,024.30

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Solution

The fourth proportional to 524,336.30, 785,338.05 and 431,024.30 is: 645,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,336.30 : 785,338.05 = 431,024.30 : x
  2. Step 2: Convert to fraction form
    524,336.30/785,338.05 = 431,024.30/x
  3. Step 3: Cross multiply
    524,336.30x = 785,338.05 × 431,024.30
  4. Step 4: Simplify right side
    524,336.30x = 338,499,783,264.62
  5. Step 5: Solve for x
    x = 338,499,783,264.62/524,336.30
  6. Step 6: Final answer
    x = 645,577.63

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