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Finding the Fourth Proportional to 286,870.78, 395,879.48 and 157,806.47

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Solution

The fourth proportional to 286,870.78, 395,879.48 and 157,806.47 is: 217,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,870.78 : 395,879.48 = 157,806.47 : x
  2. Step 2: Convert to fraction form
    286,870.78/395,879.48 = 157,806.47/x
  3. Step 3: Cross multiply
    286,870.78x = 395,879.48 × 157,806.47
  4. Step 4: Simplify right side
    286,870.78x = 62,472,343,284.24
  5. Step 5: Solve for x
    x = 62,472,343,284.24/286,870.78
  6. Step 6: Final answer
    x = 217,771.72

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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.