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Finding the Fourth Proportional to 438,286.40, 657,429.60 and 280,822.40

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Solution

The fourth proportional to 438,286.40, 657,429.60 and 280,822.40 is: 421,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,286.40 : 657,429.60 = 280,822.40 : x
  2. Step 2: Convert to fraction form
    438,286.40/657,429.60 = 280,822.40/x
  3. Step 3: Cross multiply
    438,286.40x = 657,429.60 × 280,822.40
  4. Step 4: Simplify right side
    438,286.40x = 184,620,958,103.04
  5. Step 5: Solve for x
    x = 184,620,958,103.04/438,286.40
  6. Step 6: Final answer
    x = 421,233.60

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Why These Related Problems?

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