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Finding the Fourth Proportional to 282,008, 389,171.04 and 162,776

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Solution

The fourth proportional to 282,008, 389,171.04 and 162,776 is: 224,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,008 : 389,171.04 = 162,776 : x
  2. Step 2: Convert to fraction form
    282,008/389,171.04 = 162,776/x
  3. Step 3: Cross multiply
    282,008x = 389,171.04 × 162,776
  4. Step 4: Simplify right side
    282,008x = 63,347,705,207.04
  5. Step 5: Solve for x
    x = 63,347,705,207.04/282,008
  6. Step 6: Final answer
    x = 224,630.88

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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.