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Finding the Fourth Proportional to 257,834.60, 386,751.90 and 254,335.40

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Solution

The fourth proportional to 257,834.60, 386,751.90 and 254,335.40 is: 381,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,834.60 : 386,751.90 = 254,335.40 : x
  2. Step 2: Convert to fraction form
    257,834.60/386,751.90 = 254,335.40/x
  3. Step 3: Cross multiply
    257,834.60x = 386,751.90 × 254,335.40
  4. Step 4: Simplify right side
    257,834.60x = 98,364,699,187.26
  5. Step 5: Solve for x
    x = 98,364,699,187.26/257,834.60
  6. Step 6: Final answer
    x = 381,503.10

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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.