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Finding the Fourth Proportional to 397,963.32, 597,009.78 and 117,508.92

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Solution

The fourth proportional to 397,963.32, 597,009.78 and 117,508.92 is: 176,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,963.32 : 597,009.78 = 117,508.92 : x
  2. Step 2: Convert to fraction form
    397,963.32/597,009.78 = 117,508.92/x
  3. Step 3: Cross multiply
    397,963.32x = 597,009.78 × 117,508.92
  4. Step 4: Simplify right side
    397,963.32x = 70,153,974,477.24
  5. Step 5: Solve for x
    x = 70,153,974,477.24/397,963.32
  6. Step 6: Final answer
    x = 176,282.51

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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.