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Finding the Fourth Proportional to 614,019.64, 920,708.68 and 193,182.52

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Solution

The fourth proportional to 614,019.64, 920,708.68 and 193,182.52 is: 289,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,019.64 : 920,708.68 = 193,182.52 : x
  2. Step 2: Convert to fraction form
    614,019.64/920,708.68 = 193,182.52/x
  3. Step 3: Cross multiply
    614,019.64x = 920,708.68 × 193,182.52
  4. Step 4: Simplify right side
    614,019.64x = 177,864,822,988.27
  5. Step 5: Solve for x
    x = 177,864,822,988.27/614,019.64
  6. Step 6: Final answer
    x = 289,672.86

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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.