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Finding the Fourth Proportional to 516,181.46, 712,306.35 and 286,753.64

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Solution

The fourth proportional to 516,181.46, 712,306.35 and 286,753.64 is: 395,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,181.46 : 712,306.35 = 286,753.64 : x
  2. Step 2: Convert to fraction form
    516,181.46/712,306.35 = 286,753.64/x
  3. Step 3: Cross multiply
    516,181.46x = 712,306.35 × 286,753.64
  4. Step 4: Simplify right side
    516,181.46x = 204,256,435,096.08
  5. Step 5: Solve for x
    x = 204,256,435,096.08/516,181.46
  6. Step 6: Final answer
    x = 395,706.65

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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.