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Finding the Fourth Proportional to 475,007.60, 712,585.19 and 159,538.32

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Solution

The fourth proportional to 475,007.60, 712,585.19 and 159,538.32 is: 239,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,007.60 : 712,585.19 = 159,538.32 : x
  2. Step 2: Convert to fraction form
    475,007.60/712,585.19 = 159,538.32/x
  3. Step 3: Cross multiply
    475,007.60x = 712,585.19 × 159,538.32
  4. Step 4: Simplify right side
    475,007.60x = 113,684,644,468.33
  5. Step 5: Solve for x
    x = 113,684,644,468.33/475,007.60
  6. Step 6: Final answer
    x = 239,332.26

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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.