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Finding the Fourth Proportional to 473,223.86, 709,937.85 and 136,262.24

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Solution

The fourth proportional to 473,223.86, 709,937.85 and 136,262.24 is: 204,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,223.86 : 709,937.85 = 136,262.24 : x
  2. Step 2: Convert to fraction form
    473,223.86/709,937.85 = 136,262.24/x
  3. Step 3: Cross multiply
    473,223.86x = 709,937.85 × 136,262.24
  4. Step 4: Simplify right side
    473,223.86x = 96,737,718,152.09
  5. Step 5: Solve for x
    x = 96,737,718,152.09/473,223.86
  6. Step 6: Final answer
    x = 204,422.74

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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.