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Finding the Fourth Proportional to 417,756.56, 626,560.75 and 189,998.82

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Solution

The fourth proportional to 417,756.56, 626,560.75 and 189,998.82 is: 284,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,756.56 : 626,560.75 = 189,998.82 : x
  2. Step 2: Convert to fraction form
    417,756.56/626,560.75 = 189,998.82/x
  3. Step 3: Cross multiply
    417,756.56x = 626,560.75 × 189,998.82
  4. Step 4: Simplify right side
    417,756.56x = 119,045,805,158.02
  5. Step 5: Solve for x
    x = 119,045,805,158.02/417,756.56
  6. Step 6: Final answer
    x = 284,964.54

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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.