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Finding the Fourth Proportional to 473,486.88, 710,233.02 and 157,942.86

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Solution

The fourth proportional to 473,486.88, 710,233.02 and 157,942.86 is: 236,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,486.88 : 710,233.02 = 157,942.86 : x
  2. Step 2: Convert to fraction form
    473,486.88/710,233.02 = 157,942.86/x
  3. Step 3: Cross multiply
    473,486.88x = 710,233.02 × 157,942.86
  4. Step 4: Simplify right side
    473,486.88x = 112,176,234,445.24
  5. Step 5: Solve for x
    x = 112,176,234,445.24/473,486.88
  6. Step 6: Final answer
    x = 236,915.19

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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.