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Finding the Fourth Proportional to 510,036.93, 703,836.83 and 277,456.16

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Solution

The fourth proportional to 510,036.93, 703,836.83 and 277,456.16 is: 382,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,036.93 : 703,836.83 = 277,456.16 : x
  2. Step 2: Convert to fraction form
    510,036.93/703,836.83 = 277,456.16/x
  3. Step 3: Cross multiply
    510,036.93x = 703,836.83 × 277,456.16
  4. Step 4: Simplify right side
    510,036.93x = 195,283,866,571.61
  5. Step 5: Solve for x
    x = 195,283,866,571.61/510,036.93
  6. Step 6: Final answer
    x = 382,881.82

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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.