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Finding the Fourth Proportional to 413,222.96, 619,248.48 and 173,078.08

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Solution

The fourth proportional to 413,222.96, 619,248.48 and 173,078.08 is: 259,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,222.96 : 619,248.48 = 173,078.08 : x
  2. Step 2: Convert to fraction form
    413,222.96/619,248.48 = 173,078.08/x
  3. Step 3: Cross multiply
    413,222.96x = 619,248.48 × 173,078.08
  4. Step 4: Simplify right side
    413,222.96x = 107,178,337,961.32
  5. Step 5: Solve for x
    x = 107,178,337,961.32/413,222.96
  6. Step 6: Final answer
    x = 259,371.69

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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.