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Finding the Fourth Proportional to 591,930, 887,895.36 and 197,946

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Solution

The fourth proportional to 591,930, 887,895.36 and 197,946 is: 296,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,930 : 887,895.36 = 197,946 : x
  2. Step 2: Convert to fraction form
    591,930/887,895.36 = 197,946/x
  3. Step 3: Cross multiply
    591,930x = 887,895.36 × 197,946
  4. Step 4: Simplify right side
    591,930x = 175,755,334,930.56
  5. Step 5: Solve for x
    x = 175,755,334,930.56/591,930
  6. Step 6: Final answer
    x = 296,919.12

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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.