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Finding the Fourth Proportional to 473,224.48, 709,938.78 and 136,262.86

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Solution

The fourth proportional to 473,224.48, 709,938.78 and 136,262.86 is: 204,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,224.48 : 709,938.78 = 136,262.86 : x
  2. Step 2: Convert to fraction form
    473,224.48/709,938.78 = 136,262.86/x
  3. Step 3: Cross multiply
    473,224.48x = 709,938.78 × 136,262.86
  4. Step 4: Simplify right side
    473,224.48x = 96,738,288,587.71
  5. Step 5: Solve for x
    x = 96,738,288,587.71/473,224.48
  6. Step 6: Final answer
    x = 204,423.68

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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.