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Finding the Fourth Proportional to 473,702.48, 710,524.56 and 158,132.96

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Solution

The fourth proportional to 473,702.48, 710,524.56 and 158,132.96 is: 237,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,702.48 : 710,524.56 = 158,132.96 : x
  2. Step 2: Convert to fraction form
    473,702.48/710,524.56 = 158,132.96/x
  3. Step 3: Cross multiply
    473,702.48x = 710,524.56 × 158,132.96
  4. Step 4: Simplify right side
    473,702.48x = 112,357,351,825.50
  5. Step 5: Solve for x
    x = 112,357,351,825.50/473,702.48
  6. Step 6: Final answer
    x = 237,189.71

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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.