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Finding the Fourth Proportional to 361,873.40, 542,810.10 and 175,249.40

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Solution

The fourth proportional to 361,873.40, 542,810.10 and 175,249.40 is: 262,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,873.40 : 542,810.10 = 175,249.40 : x
  2. Step 2: Convert to fraction form
    361,873.40/542,810.10 = 175,249.40/x
  3. Step 3: Cross multiply
    361,873.40x = 542,810.10 × 175,249.40
  4. Step 4: Simplify right side
    361,873.40x = 95,127,144,338.94
  5. Step 5: Solve for x
    x = 95,127,144,338.94/361,873.40
  6. Step 6: Final answer
    x = 262,874.10

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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.