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Finding the Fourth Proportional to 294,062.40, 440,402.40 and 200,059.20

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Solution

The fourth proportional to 294,062.40, 440,402.40 and 200,059.20 is: 299,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,062.40 : 440,402.40 = 200,059.20 : x
  2. Step 2: Convert to fraction form
    294,062.40/440,402.40 = 200,059.20/x
  3. Step 3: Cross multiply
    294,062.40x = 440,402.40 × 200,059.20
  4. Step 4: Simplify right side
    294,062.40x = 88,106,551,822.08
  5. Step 5: Solve for x
    x = 88,106,551,822.08/294,062.40
  6. Step 6: Final answer
    x = 299,618.56

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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.