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Finding the Fourth Proportional to 493,856.80, 740,817.60 and 138,882.40

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Solution

The fourth proportional to 493,856.80, 740,817.60 and 138,882.40 is: 208,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,856.80 : 740,817.60 = 138,882.40 : x
  2. Step 2: Convert to fraction form
    493,856.80/740,817.60 = 138,882.40/x
  3. Step 3: Cross multiply
    493,856.80x = 740,817.60 × 138,882.40
  4. Step 4: Simplify right side
    493,856.80x = 102,886,526,250.24
  5. Step 5: Solve for x
    x = 102,886,526,250.24/493,856.80
  6. Step 6: Final answer
    x = 208,332.71

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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.