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Finding the Fourth Proportional to 681,140.50, 939,903.17 and 419,454.20

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Solution

The fourth proportional to 681,140.50, 939,903.17 and 419,454.20 is: 578,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,140.50 : 939,903.17 = 419,454.20 : x
  2. Step 2: Convert to fraction form
    681,140.50/939,903.17 = 419,454.20/x
  3. Step 3: Cross multiply
    681,140.50x = 939,903.17 × 419,454.20
  4. Step 4: Simplify right side
    681,140.50x = 394,246,332,249.81
  5. Step 5: Solve for x
    x = 394,246,332,249.81/681,140.50
  6. Step 6: Final answer
    x = 578,803.25

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Double scale
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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.