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Finding the Fourth Proportional to 473,108.85, 709,400.71 and 157,393.41

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Solution

The fourth proportional to 473,108.85, 709,400.71 and 157,393.41 is: 236,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,108.85 : 709,400.71 = 157,393.41 : x
  2. Step 2: Convert to fraction form
    473,108.85/709,400.71 = 157,393.41/x
  3. Step 3: Cross multiply
    473,108.85x = 709,400.71 × 157,393.41
  4. Step 4: Simplify right side
    473,108.85x = 111,654,992,862.83
  5. Step 5: Solve for x
    x = 111,654,992,862.83/473,108.85
  6. Step 6: Final answer
    x = 236,002.76

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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.