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Finding the Fourth Proportional to 473,220.48, 709,943.72 and 157,680.12

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Solution

The fourth proportional to 473,220.48, 709,943.72 and 157,680.12 is: 236,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,220.48 : 709,943.72 = 157,680.12 : x
  2. Step 2: Convert to fraction form
    473,220.48/709,943.72 = 157,680.12/x
  3. Step 3: Cross multiply
    473,220.48x = 709,943.72 × 157,680.12
  4. Step 4: Simplify right side
    473,220.48x = 111,944,010,962.85
  5. Step 5: Solve for x
    x = 111,944,010,962.85/473,220.48
  6. Step 6: Final answer
    x = 236,557.83

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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.