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Finding the Fourth Proportional to 468,024.66, 701,400.92 and 197,928.32

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Solution

The fourth proportional to 468,024.66, 701,400.92 and 197,928.32 is: 296,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,024.66 : 701,400.92 = 197,928.32 : x
  2. Step 2: Convert to fraction form
    468,024.66/701,400.92 = 197,928.32/x
  3. Step 3: Cross multiply
    468,024.66x = 701,400.92 × 197,928.32
  4. Step 4: Simplify right side
    468,024.66x = 138,827,105,742.05
  5. Step 5: Solve for x
    x = 138,827,105,742.05/468,024.66
  6. Step 6: Final answer
    x = 296,623.49

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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.