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Finding the Fourth Proportional to 502,832.32, 754,050.80 and 182,908.24

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Solution

The fourth proportional to 502,832.32, 754,050.80 and 182,908.24 is: 274,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,832.32 : 754,050.80 = 182,908.24 : x
  2. Step 2: Convert to fraction form
    502,832.32/754,050.80 = 182,908.24/x
  3. Step 3: Cross multiply
    502,832.32x = 754,050.80 × 182,908.24
  4. Step 4: Simplify right side
    502,832.32x = 137,922,104,698.59
  5. Step 5: Solve for x
    x = 137,922,104,698.59/502,832.32
  6. Step 6: Final answer
    x = 274,290.45

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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.