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Finding the Fourth Proportional to 415,012.80, 623,102.40 and 257,548.80

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Solution

The fourth proportional to 415,012.80, 623,102.40 and 257,548.80 is: 386,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,012.80 : 623,102.40 = 257,548.80 : x
  2. Step 2: Convert to fraction form
    415,012.80/623,102.40 = 257,548.80/x
  3. Step 3: Cross multiply
    415,012.80x = 623,102.40 × 257,548.80
  4. Step 4: Simplify right side
    415,012.80x = 160,479,275,397.12
  5. Step 5: Solve for x
    x = 160,479,275,397.12/415,012.80
  6. Step 6: Final answer
    x = 386,685.12

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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.