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Finding the Fourth Proportional to 397,084.88, 595,701.14 and 130,864.11

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Solution

The fourth proportional to 397,084.88, 595,701.14 and 130,864.11 is: 196,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,084.88 : 595,701.14 = 130,864.11 : x
  2. Step 2: Convert to fraction form
    397,084.88/595,701.14 = 130,864.11/x
  3. Step 3: Cross multiply
    397,084.88x = 595,701.14 × 130,864.11
  4. Step 4: Simplify right side
    397,084.88x = 77,955,896,623.89
  5. Step 5: Solve for x
    x = 77,955,896,623.89/397,084.88
  6. Step 6: Final answer
    x = 196,320.48

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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.