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Finding the Fourth Proportional to 704,491.29, 972,199.84 and 382,201.38

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Solution

The fourth proportional to 704,491.29, 972,199.84 and 382,201.38 is: 527,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,491.29 : 972,199.84 = 382,201.38 : x
  2. Step 2: Convert to fraction form
    704,491.29/972,199.84 = 382,201.38/x
  3. Step 3: Cross multiply
    704,491.29x = 972,199.84 × 382,201.38
  4. Step 4: Simplify right side
    704,491.29x = 371,576,120,483.78
  5. Step 5: Solve for x
    x = 371,576,120,483.78/704,491.29
  6. Step 6: Final answer
    x = 527,438.91

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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.