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Finding the Fourth Proportional to 541,944, 813,111.48 and 288,958.32

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Solution

The fourth proportional to 541,944, 813,111.48 and 288,958.32 is: 433,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,944 : 813,111.48 = 288,958.32 : x
  2. Step 2: Convert to fraction form
    541,944/813,111.48 = 288,958.32/x
  3. Step 3: Cross multiply
    541,944x = 813,111.48 × 288,958.32
  4. Step 4: Simplify right side
    541,944x = 234,955,327,233.51
  5. Step 5: Solve for x
    x = 234,955,327,233.51/541,944
  6. Step 6: Final answer
    x = 433,541.71

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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.