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Finding the Fourth Proportional to 381,319.04, 571,982.51 and 97,009.73

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Solution

The fourth proportional to 381,319.04, 571,982.51 and 97,009.73 is: 145,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,319.04 : 571,982.51 = 97,009.73 : x
  2. Step 2: Convert to fraction form
    381,319.04/571,982.51 = 97,009.73/x
  3. Step 3: Cross multiply
    381,319.04x = 571,982.51 × 97,009.73
  4. Step 4: Simplify right side
    381,319.04x = 55,487,868,859.82
  5. Step 5: Solve for x
    x = 55,487,868,859.82/381,319.04
  6. Step 6: Final answer
    x = 145,515.60

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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.