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Finding the Fourth Proportional to 286,870.28, 395,878.79 and 157,805.97

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Solution

The fourth proportional to 286,870.28, 395,878.79 and 157,805.97 is: 217,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,870.28 : 395,878.79 = 157,805.97 : x
  2. Step 2: Convert to fraction form
    286,870.28/395,878.79 = 157,805.97/x
  3. Step 3: Cross multiply
    286,870.28x = 395,878.79 × 157,805.97
  4. Step 4: Simplify right side
    286,870.28x = 62,472,036,458.38
  5. Step 5: Solve for x
    x = 62,472,036,458.38/286,870.28
  6. Step 6: Final answer
    x = 217,771.03

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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.