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Finding the Fourth Proportional to 650,406.84, 897,454.36 and 408,517.11

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Solution

The fourth proportional to 650,406.84, 897,454.36 and 408,517.11 is: 563,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,406.84 : 897,454.36 = 408,517.11 : x
  2. Step 2: Convert to fraction form
    650,406.84/897,454.36 = 408,517.11/x
  3. Step 3: Cross multiply
    650,406.84x = 897,454.36 × 408,517.11
  4. Step 4: Simplify right side
    650,406.84x = 366,625,461,504.10
  5. Step 5: Solve for x
    x = 366,625,461,504.10/650,406.84
  6. Step 6: Final answer
    x = 563,686.36

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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.