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Finding the Fourth Proportional to 294,534.10, 441,801.15 and 272,882.80

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Solution

The fourth proportional to 294,534.10, 441,801.15 and 272,882.80 is: 409,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,534.10 : 441,801.15 = 272,882.80 : x
  2. Step 2: Convert to fraction form
    294,534.10/441,801.15 = 272,882.80/x
  3. Step 3: Cross multiply
    294,534.10x = 441,801.15 × 272,882.80
  4. Step 4: Simplify right side
    294,534.10x = 120,559,934,855.22
  5. Step 5: Solve for x
    x = 120,559,934,855.22/294,534.10
  6. Step 6: Final answer
    x = 409,324.20

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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.