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Finding the Fourth Proportional to 378,432, 567,648 and 153,914.58

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Solution

The fourth proportional to 378,432, 567,648 and 153,914.58 is: 230,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,432 : 567,648 = 153,914.58 : x
  2. Step 2: Convert to fraction form
    378,432/567,648 = 153,914.58/x
  3. Step 3: Cross multiply
    378,432x = 567,648 × 153,914.58
  4. Step 4: Simplify right side
    378,432x = 87,369,303,507.84
  5. Step 5: Solve for x
    x = 87,369,303,507.84/378,432
  6. Step 6: Final answer
    x = 230,871.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.