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Finding the Fourth Proportional to 282,460.50, 423,690.36 and 72,098.46

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Solution

The fourth proportional to 282,460.50, 423,690.36 and 72,098.46 is: 108,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,460.50 : 423,690.36 = 72,098.46 : x
  2. Step 2: Convert to fraction form
    282,460.50/423,690.36 = 72,098.46/x
  3. Step 3: Cross multiply
    282,460.50x = 423,690.36 × 72,098.46
  4. Step 4: Simplify right side
    282,460.50x = 30,547,422,472.85
  5. Step 5: Solve for x
    x = 30,547,422,472.85/282,460.50
  6. Step 6: Final answer
    x = 108,147.59

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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.