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Finding the Fourth Proportional to 501,393.97, 752,016.97 and 146,312.65

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Solution

The fourth proportional to 501,393.97, 752,016.97 and 146,312.65 is: 219,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,393.97 : 752,016.97 = 146,312.65 : x
  2. Step 2: Convert to fraction form
    501,393.97/752,016.97 = 146,312.65/x
  3. Step 3: Cross multiply
    501,393.97x = 752,016.97 × 146,312.65
  4. Step 4: Simplify right side
    501,393.97x = 110,029,595,725.67
  5. Step 5: Solve for x
    x = 110,029,595,725.67/501,393.97
  6. Step 6: Final answer
    x = 219,447.39

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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.