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Finding the Fourth Proportional to 263,588.34, 363,758.13 and 150,421.62

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Solution

The fourth proportional to 263,588.34, 363,758.13 and 150,421.62 is: 207,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,588.34 : 363,758.13 = 150,421.62 : x
  2. Step 2: Convert to fraction form
    263,588.34/363,758.13 = 150,421.62/x
  3. Step 3: Cross multiply
    263,588.34x = 363,758.13 × 150,421.62
  4. Step 4: Simplify right side
    263,588.34x = 54,717,087,202.77
  5. Step 5: Solve for x
    x = 54,717,087,202.77/263,588.34
  6. Step 6: Final answer
    x = 207,585.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.