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Finding the Fourth Proportional to 417,142.47, 625,804.88 and 150,875.22

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Solution

The fourth proportional to 417,142.47, 625,804.88 and 150,875.22 is: 226,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,142.47 : 625,804.88 = 150,875.22 : x
  2. Step 2: Convert to fraction form
    417,142.47/625,804.88 = 150,875.22/x
  3. Step 3: Cross multiply
    417,142.47x = 625,804.88 × 150,875.22
  4. Step 4: Simplify right side
    417,142.47x = 94,418,448,192.70
  5. Step 5: Solve for x
    x = 94,418,448,192.70/417,142.47
  6. Step 6: Final answer
    x = 226,345.81

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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.