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Finding the Fourth Proportional to 502,305.80, 753,464.57 and 147,326.94

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Solution

The fourth proportional to 502,305.80, 753,464.57 and 147,326.94 is: 220,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,305.80 : 753,464.57 = 147,326.94 : x
  2. Step 2: Convert to fraction form
    502,305.80/753,464.57 = 147,326.94/x
  3. Step 3: Cross multiply
    502,305.80x = 753,464.57 × 147,326.94
  4. Step 4: Simplify right side
    502,305.80x = 111,005,628,759.88
  5. Step 5: Solve for x
    x = 111,005,628,759.88/502,305.80
  6. Step 6: Final answer
    x = 220,992.13

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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.