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Finding the Fourth Proportional to 417,525.60, 626,291.92 and 117,999.48

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Solution

The fourth proportional to 417,525.60, 626,291.92 and 117,999.48 is: 177,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,525.60 : 626,291.92 = 117,999.48 : x
  2. Step 2: Convert to fraction form
    417,525.60/626,291.92 = 117,999.48/x
  3. Step 3: Cross multiply
    417,525.60x = 626,291.92 × 117,999.48
  4. Step 4: Simplify right side
    417,525.60x = 73,902,122,720.55
  5. Step 5: Solve for x
    x = 73,902,122,720.55/417,525.60
  6. Step 6: Final answer
    x = 177,000.22

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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.