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Finding the Fourth Proportional to 538,803.32, 808,175.66 and 164,826.32

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Solution

The fourth proportional to 538,803.32, 808,175.66 and 164,826.32 is: 247,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,803.32 : 808,175.66 = 164,826.32 : x
  2. Step 2: Convert to fraction form
    538,803.32/808,175.66 = 164,826.32/x
  3. Step 3: Cross multiply
    538,803.32x = 808,175.66 × 164,826.32
  4. Step 4: Simplify right side
    538,803.32x = 133,208,619,951.37
  5. Step 5: Solve for x
    x = 133,208,619,951.37/538,803.32
  6. Step 6: Final answer
    x = 247,230.51

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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.