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Finding the Fourth Proportional to 360,394.04, 497,354.15 and 199,259.49

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Solution

The fourth proportional to 360,394.04, 497,354.15 and 199,259.49 is: 274,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,394.04 : 497,354.15 = 199,259.49 : x
  2. Step 2: Convert to fraction form
    360,394.04/497,354.15 = 199,259.49/x
  3. Step 3: Cross multiply
    360,394.04x = 497,354.15 × 199,259.49
  4. Step 4: Simplify right side
    360,394.04x = 99,102,534,278.38
  5. Step 5: Solve for x
    x = 99,102,534,278.38/360,394.04
  6. Step 6: Final answer
    x = 274,983.83

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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.