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Finding the Fourth Proportional to 865,640.60, 1,298,460.90 and 510,824.60

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Solution

The fourth proportional to 865,640.60, 1,298,460.90 and 510,824.60 is: 766,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,640.60 : 1,298,460.90 = 510,824.60 : x
  2. Step 2: Convert to fraction form
    865,640.60/1,298,460.90 = 510,824.60/x
  3. Step 3: Cross multiply
    865,640.60x = 1,298,460.90 × 510,824.60
  4. Step 4: Simplify right side
    865,640.60x = 663,285,769,858.14
  5. Step 5: Solve for x
    x = 663,285,769,858.14/865,640.60
  6. Step 6: Final answer
    x = 766,236.90

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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.