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Finding the Fourth Proportional to 283,265.48, 424,909.94 and 83,585.86

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Solution

The fourth proportional to 283,265.48, 424,909.94 and 83,585.86 is: 125,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,265.48 : 424,909.94 = 83,585.86 : x
  2. Step 2: Convert to fraction form
    283,265.48/424,909.94 = 83,585.86/x
  3. Step 3: Cross multiply
    283,265.48x = 424,909.94 × 83,585.86
  4. Step 4: Simplify right side
    283,265.48x = 35,516,462,757.45
  5. Step 5: Solve for x
    x = 35,516,462,757.45/283,265.48
  6. Step 6: Final answer
    x = 125,382.25

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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.