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Finding the Fourth Proportional to 602,254.75, 903,732.05 and 269,830.75

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Solution

The fourth proportional to 602,254.75, 903,732.05 and 269,830.75 is: 404,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,254.75 : 903,732.05 = 269,830.75 : x
  2. Step 2: Convert to fraction form
    602,254.75/903,732.05 = 269,830.75/x
  3. Step 3: Cross multiply
    602,254.75x = 903,732.05 × 269,830.75
  4. Step 4: Simplify right side
    602,254.75x = 243,854,696,850.54
  5. Step 5: Solve for x
    x = 243,854,696,850.54/602,254.75
  6. Step 6: Final answer
    x = 404,902.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.