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Finding the Fourth Proportional to 417,378.30, 626,091.69 and 117,833.81

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Solution

The fourth proportional to 417,378.30, 626,091.69 and 117,833.81 is: 176,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,378.30 : 626,091.69 = 117,833.81 : x
  2. Step 2: Convert to fraction form
    417,378.30/626,091.69 = 117,833.81/x
  3. Step 3: Cross multiply
    417,378.30x = 626,091.69 × 117,833.81
  4. Step 4: Simplify right side
    417,378.30x = 73,774,766,111.58
  5. Step 5: Solve for x
    x = 73,774,766,111.58/417,378.30
  6. Step 6: Final answer
    x = 176,757.55

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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.