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Finding the Fourth Proportional to 152,286, 228,429 and 41,478

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Solution

The fourth proportional to 152,286, 228,429 and 41,478 is: 62,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,286 : 228,429 = 41,478 : x
  2. Step 2: Convert to fraction form
    152,286/228,429 = 41,478/x
  3. Step 3: Cross multiply
    152,286x = 228,429 × 41,478
  4. Step 4: Simplify right side
    152,286x = 9,474,778,062
  5. Step 5: Solve for x
    x = 9,474,778,062/152,286
  6. Step 6: Final answer
    x = 62,217

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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.