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Finding the Fourth Proportional to 353,066.38, 487,119.63 and 219,008.14

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Solution

The fourth proportional to 353,066.38, 487,119.63 and 219,008.14 is: 302,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,066.38 : 487,119.63 = 219,008.14 : x
  2. Step 2: Convert to fraction form
    353,066.38/487,119.63 = 219,008.14/x
  3. Step 3: Cross multiply
    353,066.38x = 487,119.63 × 219,008.14
  4. Step 4: Simplify right side
    353,066.38x = 106,683,164,123.79
  5. Step 5: Solve for x
    x = 106,683,164,123.79/353,066.38
  6. Step 6: Final answer
    x = 302,161.78

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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.