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Finding the Fourth Proportional to 524,409.80, 785,448.30 and 431,097.80

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Solution

The fourth proportional to 524,409.80, 785,448.30 and 431,097.80 is: 645,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,409.80 : 785,448.30 = 431,097.80 : x
  2. Step 2: Convert to fraction form
    524,409.80/785,448.30 = 431,097.80/x
  3. Step 3: Cross multiply
    524,409.80x = 785,448.30 × 431,097.80
  4. Step 4: Simplify right side
    524,409.80x = 338,605,034,143.74
  5. Step 5: Solve for x
    x = 338,605,034,143.74/524,409.80
  6. Step 6: Final answer
    x = 645,687.85

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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.