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Finding the Fourth Proportional to 442,715.78, 610,944.93 and 251,729.16

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Solution

The fourth proportional to 442,715.78, 610,944.93 and 251,729.16 is: 347,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,715.78 : 610,944.93 = 251,729.16 : x
  2. Step 2: Convert to fraction form
    442,715.78/610,944.93 = 251,729.16/x
  3. Step 3: Cross multiply
    442,715.78x = 610,944.93 × 251,729.16
  4. Step 4: Simplify right side
    442,715.78x = 153,792,654,035.16
  5. Step 5: Solve for x
    x = 153,792,654,035.16/442,715.78
  6. Step 6: Final answer
    x = 347,384.63

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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.