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Finding the Fourth Proportional to 302,424.32, 417,361.92 and 168,291.20

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Solution

The fourth proportional to 302,424.32, 417,361.92 and 168,291.20 is: 232,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,424.32 : 417,361.92 = 168,291.20 : x
  2. Step 2: Convert to fraction form
    302,424.32/417,361.92 = 168,291.20/x
  3. Step 3: Cross multiply
    302,424.32x = 417,361.92 × 168,291.20
  4. Step 4: Simplify right side
    302,424.32x = 70,238,338,351.10
  5. Step 5: Solve for x
    x = 70,238,338,351.10/302,424.32
  6. Step 6: Final answer
    x = 232,250.96

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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.