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Finding the Fourth Proportional to 698,363.80, 963,710.97 and 408,002.29

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Solution

The fourth proportional to 698,363.80, 963,710.97 and 408,002.29 is: 563,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,363.80 : 963,710.97 = 408,002.29 : x
  2. Step 2: Convert to fraction form
    698,363.80/963,710.97 = 408,002.29/x
  3. Step 3: Cross multiply
    698,363.80x = 963,710.97 × 408,002.29
  4. Step 4: Simplify right side
    698,363.80x = 393,196,278,718.84
  5. Step 5: Solve for x
    x = 393,196,278,718.84/698,363.80
  6. Step 6: Final answer
    x = 563,025.00

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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.