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Finding the Fourth Proportional to 650,594.85, 897,713.76 and 408,706.10

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Solution

The fourth proportional to 650,594.85, 897,713.76 and 408,706.10 is: 563,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,594.85 : 897,713.76 = 408,706.10 : x
  2. Step 2: Convert to fraction form
    650,594.85/897,713.76 = 408,706.10/x
  3. Step 3: Cross multiply
    650,594.85x = 897,713.76 × 408,706.10
  4. Step 4: Simplify right side
    650,594.85x = 366,901,094,076.60
  5. Step 5: Solve for x
    x = 366,901,094,076.60/650,594.85
  6. Step 6: Final answer
    x = 563,947.12

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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.