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Finding the Fourth Proportional to 392,647.24, 588,964.38 and 97,159.24

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Solution

The fourth proportional to 392,647.24, 588,964.38 and 97,159.24 is: 145,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,647.24 : 588,964.38 = 97,159.24 : x
  2. Step 2: Convert to fraction form
    392,647.24/588,964.38 = 97,159.24/x
  3. Step 3: Cross multiply
    392,647.24x = 588,964.38 × 97,159.24
  4. Step 4: Simplify right side
    392,647.24x = 57,223,331,547.87
  5. Step 5: Solve for x
    x = 57,223,331,547.87/392,647.24
  6. Step 6: Final answer
    x = 145,737.26

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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.