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Finding the Fourth Proportional to 571,414.77, 857,039.54 and 400,116.78

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Solution

The fourth proportional to 571,414.77, 857,039.54 and 400,116.78 is: 600,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,414.77 : 857,039.54 = 400,116.78 : x
  2. Step 2: Convert to fraction form
    571,414.77/857,039.54 = 400,116.78/x
  3. Step 3: Cross multiply
    571,414.77x = 857,039.54 × 400,116.78
  4. Step 4: Simplify right side
    571,414.77x = 342,915,899,076.90
  5. Step 5: Solve for x
    x = 342,915,899,076.90/571,414.77
  6. Step 6: Final answer
    x = 600,117.32

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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.