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Finding the Fourth Proportional to 284,692.44, 392,875.68 and 157,368

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Solution

The fourth proportional to 284,692.44, 392,875.68 and 157,368 is: 217,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,692.44 : 392,875.68 = 157,368 : x
  2. Step 2: Convert to fraction form
    284,692.44/392,875.68 = 157,368/x
  3. Step 3: Cross multiply
    284,692.44x = 392,875.68 × 157,368
  4. Step 4: Simplify right side
    284,692.44x = 61,826,060,010.24
  5. Step 5: Solve for x
    x = 61,826,060,010.24/284,692.44
  6. Step 6: Final answer
    x = 217,167.90

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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.