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Finding the Fourth Proportional to 532,097.68, 734,310.24 and 290,395.76

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Solution

The fourth proportional to 532,097.68, 734,310.24 and 290,395.76 is: 400,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,097.68 : 734,310.24 = 290,395.76 : x
  2. Step 2: Convert to fraction form
    532,097.68/734,310.24 = 290,395.76/x
  3. Step 3: Cross multiply
    532,097.68x = 734,310.24 × 290,395.76
  4. Step 4: Simplify right side
    532,097.68x = 213,240,580,220.58
  5. Step 5: Solve for x
    x = 213,240,580,220.58/532,097.68
  6. Step 6: Final answer
    x = 400,754.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.