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Finding the Fourth Proportional to 474,073.02, 710,961.30 and 158,456.12

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Solution

The fourth proportional to 474,073.02, 710,961.30 and 158,456.12 is: 237,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,073.02 : 710,961.30 = 158,456.12 : x
  2. Step 2: Convert to fraction form
    474,073.02/710,961.30 = 158,456.12/x
  3. Step 3: Cross multiply
    474,073.02x = 710,961.30 × 158,456.12
  4. Step 4: Simplify right side
    474,073.02x = 112,656,165,513.35
  5. Step 5: Solve for x
    x = 112,656,165,513.35/474,073.02
  6. Step 6: Final answer
    x = 237,634.63

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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.