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Finding the Fourth Proportional to 495,296.48, 742,958.04 and 140,273.84

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Solution

The fourth proportional to 495,296.48, 742,958.04 and 140,273.84 is: 210,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,296.48 : 742,958.04 = 140,273.84 : x
  2. Step 2: Convert to fraction form
    495,296.48/742,958.04 = 140,273.84/x
  3. Step 3: Cross multiply
    495,296.48x = 742,958.04 × 140,273.84
  4. Step 4: Simplify right side
    495,296.48x = 104,217,577,229.67
  5. Step 5: Solve for x
    x = 104,217,577,229.67/495,296.48
  6. Step 6: Final answer
    x = 210,414.53

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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.