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Finding the Fourth Proportional to 473,335.74, 709,741.17 and 157,620.42

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Solution

The fourth proportional to 473,335.74, 709,741.17 and 157,620.42 is: 236,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,335.74 : 709,741.17 = 157,620.42 : x
  2. Step 2: Convert to fraction form
    473,335.74/709,741.17 = 157,620.42/x
  3. Step 3: Cross multiply
    473,335.74x = 709,741.17 × 157,620.42
  4. Step 4: Simplify right side
    473,335.74x = 111,869,701,306.69
  5. Step 5: Solve for x
    x = 111,869,701,306.69/473,335.74
  6. Step 6: Final answer
    x = 236,343.24

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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.