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Finding the Fourth Proportional to 682,713.28, 941,705.76 and 414,441.28

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Solution

The fourth proportional to 682,713.28, 941,705.76 and 414,441.28 is: 571,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,713.28 : 941,705.76 = 414,441.28 : x
  2. Step 2: Convert to fraction form
    682,713.28/941,705.76 = 414,441.28/x
  3. Step 3: Cross multiply
    682,713.28x = 941,705.76 × 414,441.28
  4. Step 4: Simplify right side
    682,713.28x = 390,281,740,557.77
  5. Step 5: Solve for x
    x = 390,281,740,557.77/682,713.28
  6. Step 6: Final answer
    x = 571,662.73

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Similar ratio
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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.