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Finding the Fourth Proportional to 437,891.20, 656,059.20 and 409,897.60

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Solution

The fourth proportional to 437,891.20, 656,059.20 and 409,897.60 is: 614,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,891.20 : 656,059.20 = 409,897.60 : x
  2. Step 2: Convert to fraction form
    437,891.20/656,059.20 = 409,897.60/x
  3. Step 3: Cross multiply
    437,891.20x = 656,059.20 × 409,897.60
  4. Step 4: Simplify right side
    437,891.20x = 268,917,091,537.92
  5. Step 5: Solve for x
    x = 268,917,091,537.92/437,891.20
  6. Step 6: Final answer
    x = 614,118.51

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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.