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Finding the Fourth Proportional to 443,974.32, 612,685.76 and 282,794.88

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Solution

The fourth proportional to 443,974.32, 612,685.76 and 282,794.88 is: 390,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,974.32 : 612,685.76 = 282,794.88 : x
  2. Step 2: Convert to fraction form
    443,974.32/612,685.76 = 282,794.88/x
  3. Step 3: Cross multiply
    443,974.32x = 612,685.76 × 282,794.88
  4. Step 4: Simplify right side
    443,974.32x = 173,264,395,976.91
  5. Step 5: Solve for x
    x = 173,264,395,976.91/443,974.32
  6. Step 6: Final answer
    x = 390,257.70

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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.