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Finding the Fourth Proportional to 405,318.80, 559,342.17 and 221,557.65

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Solution

The fourth proportional to 405,318.80, 559,342.17 and 221,557.65 is: 305,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,318.80 : 559,342.17 = 221,557.65 : x
  2. Step 2: Convert to fraction form
    405,318.80/559,342.17 = 221,557.65/x
  3. Step 3: Cross multiply
    405,318.80x = 559,342.17 × 221,557.65
  4. Step 4: Simplify right side
    405,318.80x = 123,926,533,934.39
  5. Step 5: Solve for x
    x = 123,926,533,934.39/405,318.80
  6. Step 6: Final answer
    x = 305,750.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.