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Finding the Fourth Proportional to 585,310.60, 877,965.90 and 142,078.60

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Solution

The fourth proportional to 585,310.60, 877,965.90 and 142,078.60 is: 213,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,310.60 : 877,965.90 = 142,078.60 : x
  2. Step 2: Convert to fraction form
    585,310.60/877,965.90 = 142,078.60/x
  3. Step 3: Cross multiply
    585,310.60x = 877,965.90 × 142,078.60
  4. Step 4: Simplify right side
    585,310.60x = 124,740,165,919.74
  5. Step 5: Solve for x
    x = 124,740,165,919.74/585,310.60
  6. Step 6: Final answer
    x = 213,117.90

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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.