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Finding the Fourth Proportional to 473,892.96, 710,876.08 and 158,350.96

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Solution

The fourth proportional to 473,892.96, 710,876.08 and 158,350.96 is: 237,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,892.96 : 710,876.08 = 158,350.96 : x
  2. Step 2: Convert to fraction form
    473,892.96/710,876.08 = 158,350.96/x
  3. Step 3: Cross multiply
    473,892.96x = 710,876.08 × 158,350.96
  4. Step 4: Simplify right side
    473,892.96x = 112,567,909,709.04
  5. Step 5: Solve for x
    x = 112,567,909,709.04/473,892.96
  6. Step 6: Final answer
    x = 237,538.68

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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.