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Finding the Fourth Proportional to 475,338.60, 713,124.54 and 138,382.27

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Solution

The fourth proportional to 475,338.60, 713,124.54 and 138,382.27 is: 207,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,338.60 : 713,124.54 = 138,382.27 : x
  2. Step 2: Convert to fraction form
    475,338.60/713,124.54 = 138,382.27/x
  3. Step 3: Cross multiply
    475,338.60x = 713,124.54 × 138,382.27
  4. Step 4: Simplify right side
    475,338.60x = 98,683,792,637.91
  5. Step 5: Solve for x
    x = 98,683,792,637.91/475,338.60
  6. Step 6: Final answer
    x = 207,607.36

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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.