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Finding the Fourth Proportional to 466,845.40, 698,712.90 and 410,858.20

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Solution

The fourth proportional to 466,845.40, 698,712.90 and 410,858.20 is: 614,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,845.40 : 698,712.90 = 410,858.20 : x
  2. Step 2: Convert to fraction form
    466,845.40/698,712.90 = 410,858.20/x
  3. Step 3: Cross multiply
    466,845.40x = 698,712.90 × 410,858.20
  4. Step 4: Simplify right side
    466,845.40x = 287,071,924,410.78
  5. Step 5: Solve for x
    x = 287,071,924,410.78/466,845.40
  6. Step 6: Final answer
    x = 614,918.61

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1.5x scale

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.