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Finding the Fourth Proportional to 375,984, 563,991.36 and 95,508.48

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Solution

The fourth proportional to 375,984, 563,991.36 and 95,508.48 is: 143,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,984 : 563,991.36 = 95,508.48 : x
  2. Step 2: Convert to fraction form
    375,984/563,991.36 = 95,508.48/x
  3. Step 3: Cross multiply
    375,984x = 563,991.36 × 95,508.48
  4. Step 4: Simplify right side
    375,984x = 53,865,957,526.73
  5. Step 5: Solve for x
    x = 53,865,957,526.73/375,984
  6. Step 6: Final answer
    x = 143,266.62

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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.