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Finding the Fourth Proportional to 584,253, 806,269.14 and 315,981

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Solution

The fourth proportional to 584,253, 806,269.14 and 315,981 is: 436,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,253 : 806,269.14 = 315,981 : x
  2. Step 2: Convert to fraction form
    584,253/806,269.14 = 315,981/x
  3. Step 3: Cross multiply
    584,253x = 806,269.14 × 315,981
  4. Step 4: Simplify right side
    584,253x = 254,765,729,126.34
  5. Step 5: Solve for x
    x = 254,765,729,126.34/584,253
  6. Step 6: Final answer
    x = 436,053.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.