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Finding the Fourth Proportional to 417,388.28, 626,132.33 and 147,460.53

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Solution

The fourth proportional to 417,388.28, 626,132.33 and 147,460.53 is: 221,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,388.28 : 626,132.33 = 147,460.53 : x
  2. Step 2: Convert to fraction form
    417,388.28/626,132.33 = 147,460.53/x
  3. Step 3: Cross multiply
    417,388.28x = 626,132.33 × 147,460.53
  4. Step 4: Simplify right side
    417,388.28x = 92,329,807,395.61
  5. Step 5: Solve for x
    x = 92,329,807,395.61/417,388.28
  6. Step 6: Final answer
    x = 221,208.44

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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.