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Finding the Fourth Proportional to 381,326.45, 571,992.93 and 97,017.29

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Solution

The fourth proportional to 381,326.45, 571,992.93 and 97,017.29 is: 145,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,326.45 : 571,992.93 = 97,017.29 : x
  2. Step 2: Convert to fraction form
    381,326.45/571,992.93 = 97,017.29/x
  3. Step 3: Cross multiply
    381,326.45x = 571,992.93 × 97,017.29
  4. Step 4: Simplify right side
    381,326.45x = 55,493,203,967.76
  5. Step 5: Solve for x
    x = 55,493,203,967.76/381,326.45
  6. Step 6: Final answer
    x = 145,526.76

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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.