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Finding the Fourth Proportional to 485,435.40, 727,934.40 and 185,816.40

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Solution

The fourth proportional to 485,435.40, 727,934.40 and 185,816.40 is: 278,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,435.40 : 727,934.40 = 185,816.40 : x
  2. Step 2: Convert to fraction form
    485,435.40/727,934.40 = 185,816.40/x
  3. Step 3: Cross multiply
    485,435.40x = 727,934.40 × 185,816.40
  4. Step 4: Simplify right side
    485,435.40x = 135,262,149,644.16
  5. Step 5: Solve for x
    x = 135,262,149,644.16/485,435.40
  6. Step 6: Final answer
    x = 278,640.89

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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.