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Finding the Fourth Proportional to 282,597.56, 423,961.98 and 82,909.88

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Solution

The fourth proportional to 282,597.56, 423,961.98 and 82,909.88 is: 124,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,597.56 : 423,961.98 = 82,909.88 : x
  2. Step 2: Convert to fraction form
    282,597.56/423,961.98 = 82,909.88/x
  3. Step 3: Cross multiply
    282,597.56x = 423,961.98 × 82,909.88
  4. Step 4: Simplify right side
    282,597.56x = 35,150,636,886.36
  5. Step 5: Solve for x
    x = 35,150,636,886.36/282,597.56
  6. Step 6: Final answer
    x = 124,384.08

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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.