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Finding the Fourth Proportional to 291,033, 401,565.06 and 170,150.58

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Solution

The fourth proportional to 291,033, 401,565.06 and 170,150.58 is: 234,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,033 : 401,565.06 = 170,150.58 : x
  2. Step 2: Convert to fraction form
    291,033/401,565.06 = 170,150.58/x
  3. Step 3: Cross multiply
    291,033x = 401,565.06 × 170,150.58
  4. Step 4: Simplify right side
    291,033x = 68,326,527,866.73
  5. Step 5: Solve for x
    x = 68,326,527,866.73/291,033
  6. Step 6: Final answer
    x = 234,772.44

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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.