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Finding the Fourth Proportional to 274,465.60, 411,698.40 and 257,876.80

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Solution

The fourth proportional to 274,465.60, 411,698.40 and 257,876.80 is: 386,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,465.60 : 411,698.40 = 257,876.80 : x
  2. Step 2: Convert to fraction form
    274,465.60/411,698.40 = 257,876.80/x
  3. Step 3: Cross multiply
    274,465.60x = 411,698.40 × 257,876.80
  4. Step 4: Simplify right side
    274,465.60x = 106,167,465,957.12
  5. Step 5: Solve for x
    x = 106,167,465,957.12/274,465.60
  6. Step 6: Final answer
    x = 386,815.20

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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.