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Finding the Fourth Proportional to 349,578.08, 482,421.12 and 198,676.16

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Solution

The fourth proportional to 349,578.08, 482,421.12 and 198,676.16 is: 274,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,578.08 : 482,421.12 = 198,676.16 : x
  2. Step 2: Convert to fraction form
    349,578.08/482,421.12 = 198,676.16/x
  3. Step 3: Cross multiply
    349,578.08x = 482,421.12 × 198,676.16
  4. Step 4: Simplify right side
    349,578.08x = 95,845,575,624.50
  5. Step 5: Solve for x
    x = 95,845,575,624.50/349,578.08
  6. Step 6: Final answer
    x = 274,175.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.