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Finding the Fourth Proportional to 401,767.29, 601,727.40 and 232,869.87

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Solution

The fourth proportional to 401,767.29, 601,727.40 and 232,869.87 is: 348,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,767.29 : 601,727.40 = 232,869.87 : x
  2. Step 2: Convert to fraction form
    401,767.29/601,727.40 = 232,869.87/x
  3. Step 3: Cross multiply
    401,767.29x = 601,727.40 × 232,869.87
  4. Step 4: Simplify right side
    401,767.29x = 140,124,181,413.44
  5. Step 5: Solve for x
    x = 140,124,181,413.44/401,767.29
  6. Step 6: Final answer
    x = 348,769.51

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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.