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Finding the Fourth Proportional to 405,306.47, 559,325.13 and 221,545.28

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Solution

The fourth proportional to 405,306.47, 559,325.13 and 221,545.28 is: 305,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,306.47 : 559,325.13 = 221,545.28 : x
  2. Step 2: Convert to fraction form
    405,306.47/559,325.13 = 221,545.28/x
  3. Step 3: Cross multiply
    405,306.47x = 559,325.13 × 221,545.28
  4. Step 4: Simplify right side
    405,306.47x = 123,915,843,104.40
  5. Step 5: Solve for x
    x = 123,915,843,104.40/405,306.47
  6. Step 6: Final answer
    x = 305,733.69

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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.