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Finding the Fourth Proportional to 402,226.80, 603,471.42 and 191,837.40

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Solution

The fourth proportional to 402,226.80, 603,471.42 and 191,837.40 is: 287,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,226.80 : 603,471.42 = 191,837.40 : x
  2. Step 2: Convert to fraction form
    402,226.80/603,471.42 = 191,837.40/x
  3. Step 3: Cross multiply
    402,226.80x = 603,471.42 × 191,837.40
  4. Step 4: Simplify right side
    402,226.80x = 115,768,388,187.11
  5. Step 5: Solve for x
    x = 115,768,388,187.11/402,226.80
  6. Step 6: Final answer
    x = 287,818.68

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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.