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Finding the Fourth Proportional to 294,562.14, 406,495.74 and 160,426.14

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Solution

The fourth proportional to 294,562.14, 406,495.74 and 160,426.14 is: 221,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,562.14 : 406,495.74 = 160,426.14 : x
  2. Step 2: Convert to fraction form
    294,562.14/406,495.74 = 160,426.14/x
  3. Step 3: Cross multiply
    294,562.14x = 406,495.74 × 160,426.14
  4. Step 4: Simplify right side
    294,562.14x = 65,212,542,494.64
  5. Step 5: Solve for x
    x = 65,212,542,494.64/294,562.14
  6. Step 6: Final answer
    x = 221,388.07

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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.