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Finding the Fourth Proportional to 403,717.74, 605,686.77 and 119,422.32

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Solution

The fourth proportional to 403,717.74, 605,686.77 and 119,422.32 is: 179,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,717.74 : 605,686.77 = 119,422.32 : x
  2. Step 2: Convert to fraction form
    403,717.74/605,686.77 = 119,422.32/x
  3. Step 3: Cross multiply
    403,717.74x = 605,686.77 × 119,422.32
  4. Step 4: Simplify right side
    403,717.74x = 72,332,519,266.71
  5. Step 5: Solve for x
    x = 72,332,519,266.71/403,717.74
  6. Step 6: Final answer
    x = 179,166.07

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Why These Related Problems?

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