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Finding the Fourth Proportional to 657,910.60, 986,865.90 and 421,714.60

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Solution

The fourth proportional to 657,910.60, 986,865.90 and 421,714.60 is: 632,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,910.60 : 986,865.90 = 421,714.60 : x
  2. Step 2: Convert to fraction form
    657,910.60/986,865.90 = 421,714.60/x
  3. Step 3: Cross multiply
    657,910.60x = 986,865.90 × 421,714.60
  4. Step 4: Simplify right side
    657,910.60x = 416,175,758,272.14
  5. Step 5: Solve for x
    x = 416,175,758,272.14/657,910.60
  6. Step 6: Final answer
    x = 632,571.90

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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.