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Finding the Fourth Proportional to 361,234.51, 542,201.69 and 174,377.23

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Solution

The fourth proportional to 361,234.51, 542,201.69 and 174,377.23 is: 261,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,234.51 : 542,201.69 = 174,377.23 : x
  2. Step 2: Convert to fraction form
    361,234.51/542,201.69 = 174,377.23/x
  3. Step 3: Cross multiply
    361,234.51x = 542,201.69 × 174,377.23
  4. Step 4: Simplify right side
    361,234.51x = 94,547,628,803.52
  5. Step 5: Solve for x
    x = 94,547,628,803.52/361,234.51
  6. Step 6: Final answer
    x = 261,734.76

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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.