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Finding the Fourth Proportional to 321,369.10, 482,572.05 and 242,572.30

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Solution

The fourth proportional to 321,369.10, 482,572.05 and 242,572.30 is: 364,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,369.10 : 482,572.05 = 242,572.30 : x
  2. Step 2: Convert to fraction form
    321,369.10/482,572.05 = 242,572.30/x
  3. Step 3: Cross multiply
    321,369.10x = 482,572.05 × 242,572.30
  4. Step 4: Simplify right side
    321,369.10x = 117,058,612,084.22
  5. Step 5: Solve for x
    x = 117,058,612,084.22/321,369.10
  6. Step 6: Final answer
    x = 364,249.74

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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.