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Finding the Fourth Proportional to 473,446.61, 710,172.61 and 157,902.60

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Solution

The fourth proportional to 473,446.61, 710,172.61 and 157,902.60 is: 236,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,446.61 : 710,172.61 = 157,902.60 : x
  2. Step 2: Convert to fraction form
    473,446.61/710,172.61 = 157,902.60/x
  3. Step 3: Cross multiply
    473,446.61x = 710,172.61 × 157,902.60
  4. Step 4: Simplify right side
    473,446.61x = 112,138,101,567.79
  5. Step 5: Solve for x
    x = 112,138,101,567.79/473,446.61
  6. Step 6: Final answer
    x = 236,854.80

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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.