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Finding the Fourth Proportional to 632,031.33, 948,141.40 and 232,641.74

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Solution

The fourth proportional to 632,031.33, 948,141.40 and 232,641.74 is: 348,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,031.33 : 948,141.40 = 232,641.74 : x
  2. Step 2: Convert to fraction form
    632,031.33/948,141.40 = 232,641.74/x
  3. Step 3: Cross multiply
    632,031.33x = 948,141.40 × 232,641.74
  4. Step 4: Simplify right side
    632,031.33x = 220,577,265,062.04
  5. Step 5: Solve for x
    x = 220,577,265,062.04/632,031.33
  6. Step 6: Final answer
    x = 348,997.36

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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.