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Finding the Fourth Proportional to 476,917.60, 715,265.40 and 177,539.20

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Solution

The fourth proportional to 476,917.60, 715,265.40 and 177,539.20 is: 266,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,917.60 : 715,265.40 = 177,539.20 : x
  2. Step 2: Convert to fraction form
    476,917.60/715,265.40 = 177,539.20/x
  3. Step 3: Cross multiply
    476,917.60x = 715,265.40 × 177,539.20
  4. Step 4: Simplify right side
    476,917.60x = 126,987,646,903.68
  5. Step 5: Solve for x
    x = 126,987,646,903.68/476,917.60
  6. Step 6: Final answer
    x = 266,267.48

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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.