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Finding the Fourth Proportional to 401,649.06, 602,053.20 and 135,317.52

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Solution

The fourth proportional to 401,649.06, 602,053.20 and 135,317.52 is: 202,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,649.06 : 602,053.20 = 135,317.52 : x
  2. Step 2: Convert to fraction form
    401,649.06/602,053.20 = 135,317.52/x
  3. Step 3: Cross multiply
    401,649.06x = 602,053.20 × 135,317.52
  4. Step 4: Simplify right side
    401,649.06x = 81,468,345,932.06
  5. Step 5: Solve for x
    x = 81,468,345,932.06/401,649.06
  6. Step 6: Final answer
    x = 202,834.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.