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Finding the Fourth Proportional to 304,327.40, 456,491.10 and 284,498.60

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Solution

The fourth proportional to 304,327.40, 456,491.10 and 284,498.60 is: 426,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,327.40 : 456,491.10 = 284,498.60 : x
  2. Step 2: Convert to fraction form
    304,327.40/456,491.10 = 284,498.60/x
  3. Step 3: Cross multiply
    304,327.40x = 456,491.10 × 284,498.60
  4. Step 4: Simplify right side
    304,327.40x = 129,871,078,862.46
  5. Step 5: Solve for x
    x = 129,871,078,862.46/304,327.40
  6. Step 6: Final answer
    x = 426,747.90

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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.