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Finding the Fourth Proportional to 466,825.40, 698,682.90 and 410,838.20

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Solution

The fourth proportional to 466,825.40, 698,682.90 and 410,838.20 is: 614,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,825.40 : 698,682.90 = 410,838.20 : x
  2. Step 2: Convert to fraction form
    466,825.40/698,682.90 = 410,838.20/x
  3. Step 3: Cross multiply
    466,825.40x = 698,682.90 × 410,838.20
  4. Step 4: Simplify right side
    466,825.40x = 287,045,625,006.78
  5. Step 5: Solve for x
    x = 287,045,625,006.78/466,825.40
  6. Step 6: Final answer
    x = 614,888.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.