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Finding the Fourth Proportional to 524,693.68, 782,948.24 and 468,145.08

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Solution

The fourth proportional to 524,693.68, 782,948.24 and 468,145.08 is: 698,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,693.68 : 782,948.24 = 468,145.08 : x
  2. Step 2: Convert to fraction form
    524,693.68/782,948.24 = 468,145.08/x
  3. Step 3: Cross multiply
    524,693.68x = 782,948.24 × 468,145.08
  4. Step 4: Simplify right side
    524,693.68x = 366,533,366,450.66
  5. Step 5: Solve for x
    x = 366,533,366,450.66/524,693.68
  6. Step 6: Final answer
    x = 698,566.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.