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Finding the Fourth Proportional to 473,223.48, 709,937.28 and 136,261.86

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Solution

The fourth proportional to 473,223.48, 709,937.28 and 136,261.86 is: 204,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,223.48 : 709,937.28 = 136,261.86 : x
  2. Step 2: Convert to fraction form
    473,223.48/709,937.28 = 136,261.86/x
  3. Step 3: Cross multiply
    473,223.48x = 709,937.28 × 136,261.86
  4. Step 4: Simplify right side
    473,223.48x = 96,737,374,256.14
  5. Step 5: Solve for x
    x = 96,737,374,256.14/473,223.48
  6. Step 6: Final answer
    x = 204,422.18

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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.