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Finding the Fourth Proportional to 284,069.76, 391,875.84 and 185,894.88

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Solution

The fourth proportional to 284,069.76, 391,875.84 and 185,894.88 is: 256,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,069.76 : 391,875.84 = 185,894.88 : x
  2. Step 2: Convert to fraction form
    284,069.76/391,875.84 = 185,894.88/x
  3. Step 3: Cross multiply
    284,069.76x = 391,875.84 × 185,894.88
  4. Step 4: Simplify right side
    284,069.76x = 72,847,712,251.70
  5. Step 5: Solve for x
    x = 72,847,712,251.70/284,069.76
  6. Step 6: Final answer
    x = 256,443.04

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1.5x scale

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.