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Finding the Fourth Proportional to 257,617.60, 386,426.40 and 70,628.80

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Solution

The fourth proportional to 257,617.60, 386,426.40 and 70,628.80 is: 105,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,617.60 : 386,426.40 = 70,628.80 : x
  2. Step 2: Convert to fraction form
    257,617.60/386,426.40 = 70,628.80/x
  3. Step 3: Cross multiply
    257,617.60x = 386,426.40 × 70,628.80
  4. Step 4: Simplify right side
    257,617.60x = 27,292,832,920.32
  5. Step 5: Solve for x
    x = 27,292,832,920.32/257,617.60
  6. Step 6: Final answer
    x = 105,943.20

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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.