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Finding the Fourth Proportional to 397,193.40, 595,728.51 and 112,897.17

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Solution

The fourth proportional to 397,193.40, 595,728.51 and 112,897.17 is: 169,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,193.40 : 595,728.51 = 112,897.17 : x
  2. Step 2: Convert to fraction form
    397,193.40/595,728.51 = 112,897.17/x
  3. Step 3: Cross multiply
    397,193.40x = 595,728.51 × 112,897.17
  4. Step 4: Simplify right side
    397,193.40x = 67,256,062,867.32
  5. Step 5: Solve for x
    x = 67,256,062,867.32/397,193.40
  6. Step 6: Final answer
    x = 169,328.25

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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.