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Finding the Fourth Proportional to 473,372.70, 710,062.65 and 157,829.10

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Solution

The fourth proportional to 473,372.70, 710,062.65 and 157,829.10 is: 236,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,372.70 : 710,062.65 = 157,829.10 : x
  2. Step 2: Convert to fraction form
    473,372.70/710,062.65 = 157,829.10/x
  3. Step 3: Cross multiply
    473,372.70x = 710,062.65 × 157,829.10
  4. Step 4: Simplify right side
    473,372.70x = 112,068,548,993.12
  5. Step 5: Solve for x
    x = 112,068,548,993.12/473,372.70
  6. Step 6: Final answer
    x = 236,744.85

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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.