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Finding the Fourth Proportional to 291,034, 401,566.44 and 170,151.58

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Solution

The fourth proportional to 291,034, 401,566.44 and 170,151.58 is: 234,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,034 : 401,566.44 = 170,151.58 : x
  2. Step 2: Convert to fraction form
    291,034/401,566.44 = 170,151.58/x
  3. Step 3: Cross multiply
    291,034x = 401,566.44 × 170,151.58
  4. Step 4: Simplify right side
    291,034x = 68,327,164,240.98
  5. Step 5: Solve for x
    x = 68,327,164,240.98/291,034
  6. Step 6: Final answer
    x = 234,773.82

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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.