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Finding the Fourth Proportional to 370,407.38, 511,151.72 and 217,443.13

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Solution

The fourth proportional to 370,407.38, 511,151.72 and 217,443.13 is: 300,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,407.38 : 511,151.72 = 217,443.13 : x
  2. Step 2: Convert to fraction form
    370,407.38/511,151.72 = 217,443.13/x
  3. Step 3: Cross multiply
    370,407.38x = 511,151.72 × 217,443.13
  4. Step 4: Simplify right side
    370,407.38x = 111,146,429,167.41
  5. Step 5: Solve for x
    x = 111,146,429,167.41/370,407.38
  6. Step 6: Final answer
    x = 300,065.38

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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.