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Finding the Fourth Proportional to 406,029.80, 609,044.70 and 125,575.40

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Solution

The fourth proportional to 406,029.80, 609,044.70 and 125,575.40 is: 188,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,029.80 : 609,044.70 = 125,575.40 : x
  2. Step 2: Convert to fraction form
    406,029.80/609,044.70 = 125,575.40/x
  3. Step 3: Cross multiply
    406,029.80x = 609,044.70 × 125,575.40
  4. Step 4: Simplify right side
    406,029.80x = 76,481,031,820.38
  5. Step 5: Solve for x
    x = 76,481,031,820.38/406,029.80
  6. Step 6: Final answer
    x = 188,363.10

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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.