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Finding the Fourth Proportional to 298,577.39, 412,030.65 and 162,613.73

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Solution

The fourth proportional to 298,577.39, 412,030.65 and 162,613.73 is: 224,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,577.39 : 412,030.65 = 162,613.73 : x
  2. Step 2: Convert to fraction form
    298,577.39/412,030.65 = 162,613.73/x
  3. Step 3: Cross multiply
    298,577.39x = 412,030.65 × 162,613.73
  4. Step 4: Simplify right side
    298,577.39x = 67,001,839,278.33
  5. Step 5: Solve for x
    x = 67,001,839,278.33/298,577.39
  6. Step 6: Final answer
    x = 224,403.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.