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Finding the Fourth Proportional to 413,037.20, 619,402.20 and 163,667.60

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Solution

The fourth proportional to 413,037.20, 619,402.20 and 163,667.60 is: 245,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,037.20 : 619,402.20 = 163,667.60 : x
  2. Step 2: Convert to fraction form
    413,037.20/619,402.20 = 163,667.60/x
  3. Step 3: Cross multiply
    413,037.20x = 619,402.20 × 163,667.60
  4. Step 4: Simplify right side
    413,037.20x = 101,376,071,508.72
  5. Step 5: Solve for x
    x = 101,376,071,508.72/413,037.20
  6. Step 6: Final answer
    x = 245,440.54

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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.