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Finding the Fourth Proportional to 473,893.20, 710,876.52 and 158,351.22

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Solution

The fourth proportional to 473,893.20, 710,876.52 and 158,351.22 is: 237,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,893.20 : 710,876.52 = 158,351.22 : x
  2. Step 2: Convert to fraction form
    473,893.20/710,876.52 = 158,351.22/x
  3. Step 3: Cross multiply
    473,893.20x = 710,876.52 × 158,351.22
  4. Step 4: Simplify right side
    473,893.20x = 112,568,164,211.35
  5. Step 5: Solve for x
    x = 112,568,164,211.35/473,893.20
  6. Step 6: Final answer
    x = 237,539.10

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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.