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Finding the Fourth Proportional to 417,071.25, 625,655.52 and 150,957.09

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Solution

The fourth proportional to 417,071.25, 625,655.52 and 150,957.09 is: 226,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,071.25 : 625,655.52 = 150,957.09 : x
  2. Step 2: Convert to fraction form
    417,071.25/625,655.52 = 150,957.09/x
  3. Step 3: Cross multiply
    417,071.25x = 625,655.52 × 150,957.09
  4. Step 4: Simplify right side
    417,071.25x = 94,447,136,641.64
  5. Step 5: Solve for x
    x = 94,447,136,641.64/417,071.25
  6. Step 6: Final answer
    x = 226,453.24

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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.