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Finding the Fourth Proportional to 473,474.88, 710,215.02 and 157,930.86

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Solution

The fourth proportional to 473,474.88, 710,215.02 and 157,930.86 is: 236,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,474.88 : 710,215.02 = 157,930.86 : x
  2. Step 2: Convert to fraction form
    473,474.88/710,215.02 = 157,930.86/x
  3. Step 3: Cross multiply
    473,474.88x = 710,215.02 × 157,930.86
  4. Step 4: Simplify right side
    473,474.88x = 112,164,868,893.52
  5. Step 5: Solve for x
    x = 112,164,868,893.52/473,474.88
  6. Step 6: Final answer
    x = 236,897.19

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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.