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Finding the Fourth Proportional to 467,971.52, 701,957.30 and 152,428.41

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Solution

The fourth proportional to 467,971.52, 701,957.30 and 152,428.41 is: 228,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,971.52 : 701,957.30 = 152,428.41 : x
  2. Step 2: Convert to fraction form
    467,971.52/701,957.30 = 152,428.41/x
  3. Step 3: Cross multiply
    467,971.52x = 701,957.30 × 152,428.41
  4. Step 4: Simplify right side
    467,971.52x = 106,998,234,364.75
  5. Step 5: Solve for x
    x = 106,998,234,364.75/467,971.52
  6. Step 6: Final answer
    x = 228,642.62

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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.