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Finding the Fourth Proportional to 406,061.60, 609,092.40 and 195,720.80

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Solution

The fourth proportional to 406,061.60, 609,092.40 and 195,720.80 is: 293,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,061.60 : 609,092.40 = 195,720.80 : x
  2. Step 2: Convert to fraction form
    406,061.60/609,092.40 = 195,720.80/x
  3. Step 3: Cross multiply
    406,061.60x = 609,092.40 × 195,720.80
  4. Step 4: Simplify right side
    406,061.60x = 119,212,051,801.92
  5. Step 5: Solve for x
    x = 119,212,051,801.92/406,061.60
  6. Step 6: Final answer
    x = 293,581.20

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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.