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Finding the Fourth Proportional to 355,134.46, 489,964 and 202,134.38

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Solution

The fourth proportional to 355,134.46, 489,964 and 202,134.38 is: 278,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,134.46 : 489,964 = 202,134.38 : x
  2. Step 2: Convert to fraction form
    355,134.46/489,964 = 202,134.38/x
  3. Step 3: Cross multiply
    355,134.46x = 489,964 × 202,134.38
  4. Step 4: Simplify right side
    355,134.46x = 99,038,569,362.32
  5. Step 5: Solve for x
    x = 99,038,569,362.32/355,134.46
  6. Step 6: Final answer
    x = 278,876.26

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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.