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Finding the Fourth Proportional to 532,458.31, 734,763.81 and 290,737.30

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Solution

The fourth proportional to 532,458.31, 734,763.81 and 290,737.30 is: 401,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,458.31 : 734,763.81 = 290,737.30 : x
  2. Step 2: Convert to fraction form
    532,458.31/734,763.81 = 290,737.30/x
  3. Step 3: Cross multiply
    532,458.31x = 734,763.81 × 290,737.30
  4. Step 4: Simplify right side
    532,458.31x = 213,623,246,257.11
  5. Step 5: Solve for x
    x = 213,623,246,257.11/532,458.31
  6. Step 6: Final answer
    x = 401,201.83

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Why These Related Problems?

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