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Finding the Fourth Proportional to 650,405.84, 897,452.98 and 408,516.11

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Solution

The fourth proportional to 650,405.84, 897,452.98 and 408,516.11 is: 563,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,405.84 : 897,452.98 = 408,516.11 : x
  2. Step 2: Convert to fraction form
    650,405.84/897,452.98 = 408,516.11/x
  3. Step 3: Cross multiply
    650,405.84x = 897,452.98 × 408,516.11
  4. Step 4: Simplify right side
    650,405.84x = 366,623,994,788.95
  5. Step 5: Solve for x
    x = 366,623,994,788.95/650,405.84
  6. Step 6: Final answer
    x = 563,684.97

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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.