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Finding the Fourth Proportional to 415,809.20, 623,713.80 and 257,524.40

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Solution

The fourth proportional to 415,809.20, 623,713.80 and 257,524.40 is: 386,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,809.20 : 623,713.80 = 257,524.40 : x
  2. Step 2: Convert to fraction form
    415,809.20/623,713.80 = 257,524.40/x
  3. Step 3: Cross multiply
    415,809.20x = 623,713.80 × 257,524.40
  4. Step 4: Simplify right side
    415,809.20x = 160,621,522,116.72
  5. Step 5: Solve for x
    x = 160,621,522,116.72/415,809.20
  6. Step 6: Final answer
    x = 386,286.60

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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.