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Finding the Fourth Proportional to 416,575.71, 624,734.10 and 150,301.58

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Solution

The fourth proportional to 416,575.71, 624,734.10 and 150,301.58 is: 225,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,575.71 : 624,734.10 = 150,301.58 : x
  2. Step 2: Convert to fraction form
    416,575.71/624,734.10 = 150,301.58/x
  3. Step 3: Cross multiply
    416,575.71x = 624,734.10 × 150,301.58
  4. Step 4: Simplify right side
    416,575.71x = 93,898,519,186.21
  5. Step 5: Solve for x
    x = 93,898,519,186.21/416,575.71
  6. Step 6: Final answer
    x = 225,405.65

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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.