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Finding the Fourth Proportional to 369,674.90, 510,151.14 and 199,909.02

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Solution

The fourth proportional to 369,674.90, 510,151.14 and 199,909.02 is: 275,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,674.90 : 510,151.14 = 199,909.02 : x
  2. Step 2: Convert to fraction form
    369,674.90/510,151.14 = 199,909.02/x
  3. Step 3: Cross multiply
    369,674.90x = 510,151.14 × 199,909.02
  4. Step 4: Simplify right side
    369,674.90x = 101,983,814,699.17
  5. Step 5: Solve for x
    x = 101,983,814,699.17/369,674.90
  6. Step 6: Final answer
    x = 275,874.33

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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.