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Finding the Fourth Proportional to 538,184.72, 807,247 and 164,178.32

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Solution

The fourth proportional to 538,184.72, 807,247 and 164,178.32 is: 246,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,184.72 : 807,247 = 164,178.32 : x
  2. Step 2: Convert to fraction form
    538,184.72/807,247 = 164,178.32/x
  3. Step 3: Cross multiply
    538,184.72x = 807,247 × 164,178.32
  4. Step 4: Simplify right side
    538,184.72x = 132,532,456,285.04
  5. Step 5: Solve for x
    x = 132,532,456,285.04/538,184.72
  6. Step 6: Final answer
    x = 246,258.30

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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.