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Finding the Fourth Proportional to 282,775.20, 423,851.76 and 116,472.48

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Solution

The fourth proportional to 282,775.20, 423,851.76 and 116,472.48 is: 174,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,775.20 : 423,851.76 = 116,472.48 : x
  2. Step 2: Convert to fraction form
    282,775.20/423,851.76 = 116,472.48/x
  3. Step 3: Cross multiply
    282,775.20x = 423,851.76 × 116,472.48
  4. Step 4: Simplify right side
    282,775.20x = 49,367,065,639.56
  5. Step 5: Solve for x
    x = 49,367,065,639.56/282,775.20
  6. Step 6: Final answer
    x = 174,580.61

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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.