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Finding the Fourth Proportional to 467,868, 701,874.88 and 152,250.40

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Solution

The fourth proportional to 467,868, 701,874.88 and 152,250.40 is: 228,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,868 : 701,874.88 = 152,250.40 : x
  2. Step 2: Convert to fraction form
    467,868/701,874.88 = 152,250.40/x
  3. Step 3: Cross multiply
    467,868x = 701,874.88 × 152,250.40
  4. Step 4: Simplify right side
    467,868x = 106,860,731,229.95
  5. Step 5: Solve for x
    x = 106,860,731,229.95/467,868
  6. Step 6: Final answer
    x = 228,399.32

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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.