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Finding the Fourth Proportional to 277,382.45, 382,798.64 and 162,645.14

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Solution

The fourth proportional to 277,382.45, 382,798.64 and 162,645.14 is: 224,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,382.45 : 382,798.64 = 162,645.14 : x
  2. Step 2: Convert to fraction form
    277,382.45/382,798.64 = 162,645.14/x
  3. Step 3: Cross multiply
    277,382.45x = 382,798.64 × 162,645.14
  4. Step 4: Simplify right side
    277,382.45x = 62,260,338,394.61
  5. Step 5: Solve for x
    x = 62,260,338,394.61/277,382.45
  6. Step 6: Final answer
    x = 224,456.66

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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.