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Finding the Fourth Proportional to 473,853, 710,902.68 and 141,429

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Solution

The fourth proportional to 473,853, 710,902.68 and 141,429 is: 212,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,853 : 710,902.68 = 141,429 : x
  2. Step 2: Convert to fraction form
    473,853/710,902.68 = 141,429/x
  3. Step 3: Cross multiply
    473,853x = 710,902.68 × 141,429
  4. Step 4: Simplify right side
    473,853x = 100,542,255,129.72
  5. Step 5: Solve for x
    x = 100,542,255,129.72/473,853
  6. Step 6: Final answer
    x = 212,180.27

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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.