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Finding the Fourth Proportional to 467,752.20, 701,701.80 and 152,135.32

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Solution

The fourth proportional to 467,752.20, 701,701.80 and 152,135.32 is: 228,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,752.20 : 701,701.80 = 152,135.32 : x
  2. Step 2: Convert to fraction form
    467,752.20/701,701.80 = 152,135.32/x
  3. Step 3: Cross multiply
    467,752.20x = 701,701.80 × 152,135.32
  4. Step 4: Simplify right side
    467,752.20x = 106,753,627,887.58
  5. Step 5: Solve for x
    x = 106,753,627,887.58/467,752.20
  6. Step 6: Final answer
    x = 228,226.89

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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.