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Finding the Fourth Proportional to 354,829.15, 532,079.70 and 155,046.70

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Solution

The fourth proportional to 354,829.15, 532,079.70 and 155,046.70 is: 232,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,829.15 : 532,079.70 = 155,046.70 : x
  2. Step 2: Convert to fraction form
    354,829.15/532,079.70 = 155,046.70/x
  3. Step 3: Cross multiply
    354,829.15x = 532,079.70 × 155,046.70
  4. Step 4: Simplify right side
    354,829.15x = 82,497,201,621.99
  5. Step 5: Solve for x
    x = 82,497,201,621.99/354,829.15
  6. Step 6: Final answer
    x = 232,498.38

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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.