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Finding the Fourth Proportional to 416,885.02, 625,323 and 101,342.26

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Solution

The fourth proportional to 416,885.02, 625,323 and 101,342.26 is: 152,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,885.02 : 625,323 = 101,342.26 : x
  2. Step 2: Convert to fraction form
    416,885.02/625,323 = 101,342.26/x
  3. Step 3: Cross multiply
    416,885.02x = 625,323 × 101,342.26
  4. Step 4: Simplify right side
    416,885.02x = 63,371,646,049.98
  5. Step 5: Solve for x
    x = 63,371,646,049.98/416,885.02
  6. Step 6: Final answer
    x = 152,012.29

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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.