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Finding the Fourth Proportional to 406,477.60, 609,716.40 and 126,023.20

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Solution

The fourth proportional to 406,477.60, 609,716.40 and 126,023.20 is: 189,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,477.60 : 609,716.40 = 126,023.20 : x
  2. Step 2: Convert to fraction form
    406,477.60/609,716.40 = 126,023.20/x
  3. Step 3: Cross multiply
    406,477.60x = 609,716.40 × 126,023.20
  4. Step 4: Simplify right side
    406,477.60x = 76,838,411,820.48
  5. Step 5: Solve for x
    x = 76,838,411,820.48/406,477.60
  6. Step 6: Final answer
    x = 189,034.80

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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.