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Finding the Fourth Proportional to 473,132.43, 709,695 and 118,144.08

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Solution

The fourth proportional to 473,132.43, 709,695 and 118,144.08 is: 177,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,132.43 : 709,695 = 118,144.08 : x
  2. Step 2: Convert to fraction form
    473,132.43/709,695 = 118,144.08/x
  3. Step 3: Cross multiply
    473,132.43x = 709,695 × 118,144.08
  4. Step 4: Simplify right side
    473,132.43x = 83,846,262,855.60
  5. Step 5: Solve for x
    x = 83,846,262,855.60/473,132.43
  6. Step 6: Final answer
    x = 177,215.21

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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.