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Finding the Fourth Proportional to 425,421.24, 638,379.92 and 159,368.64

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Solution

The fourth proportional to 425,421.24, 638,379.92 and 159,368.64 is: 239,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,421.24 : 638,379.92 = 159,368.64 : x
  2. Step 2: Convert to fraction form
    425,421.24/638,379.92 = 159,368.64/x
  3. Step 3: Cross multiply
    425,421.24x = 638,379.92 × 159,368.64
  4. Step 4: Simplify right side
    425,421.24x = 101,737,739,653.71
  5. Step 5: Solve for x
    x = 101,737,739,653.71/425,421.24
  6. Step 6: Final answer
    x = 239,145.89

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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.