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Finding the Fourth Proportional to 533,868, 736,732.29 and 304,462.65

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Solution

The fourth proportional to 533,868, 736,732.29 and 304,462.65 is: 420,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,868 : 736,732.29 = 304,462.65 : x
  2. Step 2: Convert to fraction form
    533,868/736,732.29 = 304,462.65/x
  3. Step 3: Cross multiply
    533,868x = 736,732.29 × 304,462.65
  4. Step 4: Simplify right side
    533,868x = 224,307,465,353.97
  5. Step 5: Solve for x
    x = 224,307,465,353.97/533,868
  6. Step 6: Final answer
    x = 420,155.29

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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.