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Finding the Fourth Proportional to 282,692.32, 389,952.96 and 176,524

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Solution

The fourth proportional to 282,692.32, 389,952.96 and 176,524 is: 243,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,692.32 : 389,952.96 = 176,524 : x
  2. Step 2: Convert to fraction form
    282,692.32/389,952.96 = 176,524/x
  3. Step 3: Cross multiply
    282,692.32x = 389,952.96 × 176,524
  4. Step 4: Simplify right side
    282,692.32x = 68,836,056,311.04
  5. Step 5: Solve for x
    x = 68,836,056,311.04/282,692.32
  6. Step 6: Final answer
    x = 243,501.69

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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.