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Finding the Fourth Proportional to 347,866.52, 480,056.88 and 202,758.17

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Solution

The fourth proportional to 347,866.52, 480,056.88 and 202,758.17 is: 279,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,866.52 : 480,056.88 = 202,758.17 : x
  2. Step 2: Convert to fraction form
    347,866.52/480,056.88 = 202,758.17/x
  3. Step 3: Cross multiply
    347,866.52x = 480,056.88 × 202,758.17
  4. Step 4: Simplify right side
    347,866.52x = 97,335,454,484.71
  5. Step 5: Solve for x
    x = 97,335,454,484.71/347,866.52
  6. Step 6: Final answer
    x = 279,806.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.