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Finding the Fourth Proportional to 417,143.06, 625,659.09 and 117,647.69

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Solution

The fourth proportional to 417,143.06, 625,659.09 and 117,647.69 is: 176,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,143.06 : 625,659.09 = 117,647.69 : x
  2. Step 2: Convert to fraction form
    417,143.06/625,659.09 = 117,647.69/x
  3. Step 3: Cross multiply
    417,143.06x = 625,659.09 × 117,647.69
  4. Step 4: Simplify right side
    417,143.06x = 73,607,346,615.86
  5. Step 5: Solve for x
    x = 73,607,346,615.86/417,143.06
  6. Step 6: Final answer
    x = 176,455.88

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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.