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Finding the Fourth Proportional to 407,728.40, 611,592.60 and 256,169.30

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Solution

The fourth proportional to 407,728.40, 611,592.60 and 256,169.30 is: 384,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,728.40 : 611,592.60 = 256,169.30 : x
  2. Step 2: Convert to fraction form
    407,728.40/611,592.60 = 256,169.30/x
  3. Step 3: Cross multiply
    407,728.40x = 611,592.60 × 256,169.30
  4. Step 4: Simplify right side
    407,728.40x = 156,671,248,227.18
  5. Step 5: Solve for x
    x = 156,671,248,227.18/407,728.40
  6. Step 6: Final answer
    x = 384,253.95

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1.5x scale

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.