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Finding the Fourth Proportional to 295,322.14, 407,545.79 and 166,262.82

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Solution

The fourth proportional to 295,322.14, 407,545.79 and 166,262.82 is: 229,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,322.14 : 407,545.79 = 166,262.82 : x
  2. Step 2: Convert to fraction form
    295,322.14/407,545.79 = 166,262.82/x
  3. Step 3: Cross multiply
    295,322.14x = 407,545.79 × 166,262.82
  4. Step 4: Simplify right side
    295,322.14x = 67,759,712,324.53
  5. Step 5: Solve for x
    x = 67,759,712,324.53/295,322.14
  6. Step 6: Final answer
    x = 229,443.39

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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.