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Finding the Fourth Proportional to 473,475.88, 710,216.52 and 157,931.86

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Solution

The fourth proportional to 473,475.88, 710,216.52 and 157,931.86 is: 236,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,475.88 : 710,216.52 = 157,931.86 : x
  2. Step 2: Convert to fraction form
    473,475.88/710,216.52 = 157,931.86/x
  3. Step 3: Cross multiply
    473,475.88x = 710,216.52 × 157,931.86
  4. Step 4: Simplify right side
    473,475.88x = 112,165,816,006.33
  5. Step 5: Solve for x
    x = 112,165,816,006.33/473,475.88
  6. Step 6: Final answer
    x = 236,898.69

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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.