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Finding the Fourth Proportional to 472,047.20, 707,972.40 and 172,668.80

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Solution

The fourth proportional to 472,047.20, 707,972.40 and 172,668.80 is: 258,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,047.20 : 707,972.40 = 172,668.80 : x
  2. Step 2: Convert to fraction form
    472,047.20/707,972.40 = 172,668.80/x
  3. Step 3: Cross multiply
    472,047.20x = 707,972.40 × 172,668.80
  4. Step 4: Simplify right side
    472,047.20x = 122,244,744,741.12
  5. Step 5: Solve for x
    x = 122,244,744,741.12/472,047.20
  6. Step 6: Final answer
    x = 258,967.21

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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.