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Finding the Fourth Proportional to 401,463.56, 602,428.56 and 179,847.56

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Solution

The fourth proportional to 401,463.56, 602,428.56 and 179,847.56 is: 269,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,463.56 : 602,428.56 = 179,847.56 : x
  2. Step 2: Convert to fraction form
    401,463.56/602,428.56 = 179,847.56/x
  3. Step 3: Cross multiply
    401,463.56x = 602,428.56 × 179,847.56
  4. Step 4: Simplify right side
    401,463.56x = 108,345,306,590.31
  5. Step 5: Solve for x
    x = 108,345,306,590.31/401,463.56
  6. Step 6: Final answer
    x = 269,875.82

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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.