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Finding the Fourth Proportional to 411,432.30, 615,945.60 and 293,334.30

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Solution

The fourth proportional to 411,432.30, 615,945.60 and 293,334.30 is: 439,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,432.30 : 615,945.60 = 293,334.30 : x
  2. Step 2: Convert to fraction form
    411,432.30/615,945.60 = 293,334.30/x
  3. Step 3: Cross multiply
    411,432.30x = 615,945.60 × 293,334.30
  4. Step 4: Simplify right side
    411,432.30x = 180,677,971,414.08
  5. Step 5: Solve for x
    x = 180,677,971,414.08/411,432.30
  6. Step 6: Final answer
    x = 439,143.87

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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.