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Finding the Fourth Proportional to 411,657.60, 617,486.40 and 344,006.40

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Solution

The fourth proportional to 411,657.60, 617,486.40 and 344,006.40 is: 516,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,657.60 : 617,486.40 = 344,006.40 : x
  2. Step 2: Convert to fraction form
    411,657.60/617,486.40 = 344,006.40/x
  3. Step 3: Cross multiply
    411,657.60x = 617,486.40 × 344,006.40
  4. Step 4: Simplify right side
    411,657.60x = 212,419,273,512.96
  5. Step 5: Solve for x
    x = 212,419,273,512.96/411,657.60
  6. Step 6: Final answer
    x = 516,009.60

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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.