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Finding the Fourth Proportional to 621,083.52, 931,659.84 and 177,840

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Solution

The fourth proportional to 621,083.52, 931,659.84 and 177,840 is: 266,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,083.52 : 931,659.84 = 177,840 : x
  2. Step 2: Convert to fraction form
    621,083.52/931,659.84 = 177,840/x
  3. Step 3: Cross multiply
    621,083.52x = 931,659.84 × 177,840
  4. Step 4: Simplify right side
    621,083.52x = 165,686,385,945.60
  5. Step 5: Solve for x
    x = 165,686,385,945.60/621,083.52
  6. Step 6: Final answer
    x = 266,769.90

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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.