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Finding the Fourth Proportional to 298,474.34, 447,412.35 and 138,662.58

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Solution

The fourth proportional to 298,474.34, 447,412.35 and 138,662.58 is: 207,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,474.34 : 447,412.35 = 138,662.58 : x
  2. Step 2: Convert to fraction form
    298,474.34/447,412.35 = 138,662.58/x
  3. Step 3: Cross multiply
    298,474.34x = 447,412.35 × 138,662.58
  4. Step 4: Simplify right side
    298,474.34x = 62,039,350,774.86
  5. Step 5: Solve for x
    x = 62,039,350,774.86/298,474.34
  6. Step 6: Final answer
    x = 207,854.89

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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.