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Finding the Fourth Proportional to 499,207.60, 748,908.60 and 214,897.60

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Solution

The fourth proportional to 499,207.60, 748,908.60 and 214,897.60 is: 322,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,207.60 : 748,908.60 = 214,897.60 : x
  2. Step 2: Convert to fraction form
    499,207.60/748,908.60 = 214,897.60/x
  3. Step 3: Cross multiply
    499,207.60x = 748,908.60 × 214,897.60
  4. Step 4: Simplify right side
    499,207.60x = 160,938,660,759.36
  5. Step 5: Solve for x
    x = 160,938,660,759.36/499,207.60
  6. Step 6: Final answer
    x = 322,388.24

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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.