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Finding the Fourth Proportional to 378,391.84, 567,726.18 and 176,084.47

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Solution

The fourth proportional to 378,391.84, 567,726.18 and 176,084.47 is: 264,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.84 : 567,726.18 = 176,084.47 : x
  2. Step 2: Convert to fraction form
    378,391.84/567,726.18 = 176,084.47/x
  3. Step 3: Cross multiply
    378,391.84x = 567,726.18 × 176,084.47
  4. Step 4: Simplify right side
    378,391.84x = 99,967,760,671.79
  5. Step 5: Solve for x
    x = 99,967,760,671.79/378,391.84
  6. Step 6: Final answer
    x = 264,191.11

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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.