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Finding the Fourth Proportional to 467,900.62, 701,945.70 and 152,272.78

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Solution

The fourth proportional to 467,900.62, 701,945.70 and 152,272.78 is: 228,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,900.62 : 701,945.70 = 152,272.78 : x
  2. Step 2: Convert to fraction form
    467,900.62/701,945.70 = 152,272.78/x
  3. Step 3: Cross multiply
    467,900.62x = 701,945.70 × 152,272.78
  4. Step 4: Simplify right side
    467,900.62x = 106,887,223,148.05
  5. Step 5: Solve for x
    x = 106,887,223,148.05/467,900.62
  6. Step 6: Final answer
    x = 228,440.01

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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.