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Finding the Fourth Proportional to 381,665.40, 572,498.10 and 224,071.80

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Solution

The fourth proportional to 381,665.40, 572,498.10 and 224,071.80 is: 336,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,665.40 : 572,498.10 = 224,071.80 : x
  2. Step 2: Convert to fraction form
    381,665.40/572,498.10 = 224,071.80/x
  3. Step 3: Cross multiply
    381,665.40x = 572,498.10 × 224,071.80
  4. Step 4: Simplify right side
    381,665.40x = 128,280,679,763.58
  5. Step 5: Solve for x
    x = 128,280,679,763.58/381,665.40
  6. Step 6: Final answer
    x = 336,107.70

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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.