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Finding the Fourth Proportional to 410,414.74, 566,381.88 and 257,459.38

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Solution

The fourth proportional to 410,414.74, 566,381.88 and 257,459.38 is: 355,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,414.74 : 566,381.88 = 257,459.38 : x
  2. Step 2: Convert to fraction form
    410,414.74/566,381.88 = 257,459.38/x
  3. Step 3: Cross multiply
    410,414.74x = 566,381.88 × 257,459.38
  4. Step 4: Simplify right side
    410,414.74x = 145,820,326,252.08
  5. Step 5: Solve for x
    x = 145,820,326,252.08/410,414.74
  6. Step 6: Final answer
    x = 355,299.93

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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.