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Finding the Fourth Proportional to 341,801.16, 471,651.84 and 198,567.24

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Solution

The fourth proportional to 341,801.16, 471,651.84 and 198,567.24 is: 274,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,801.16 : 471,651.84 = 198,567.24 : x
  2. Step 2: Convert to fraction form
    341,801.16/471,651.84 = 198,567.24/x
  3. Step 3: Cross multiply
    341,801.16x = 471,651.84 × 198,567.24
  4. Step 4: Simplify right side
    341,801.16x = 93,654,604,109.72
  5. Step 5: Solve for x
    x = 93,654,604,109.72/341,801.16
  6. Step 6: Final answer
    x = 274,003.18

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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.