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Finding the Fourth Proportional to 467,909.76, 701,707.48 and 152,292.44

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Solution

The fourth proportional to 467,909.76, 701,707.48 and 152,292.44 is: 228,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,909.76 : 701,707.48 = 152,292.44 : x
  2. Step 2: Convert to fraction form
    467,909.76/701,707.48 = 152,292.44/x
  3. Step 3: Cross multiply
    467,909.76x = 701,707.48 × 152,292.44
  4. Step 4: Simplify right side
    467,909.76x = 106,864,744,295.45
  5. Step 5: Solve for x
    x = 106,864,744,295.45/467,909.76
  6. Step 6: Final answer
    x = 228,387.51

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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.