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Finding the Fourth Proportional to 369,711.83, 510,199.43 and 199,945.95

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Solution

The fourth proportional to 369,711.83, 510,199.43 and 199,945.95 is: 275,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,711.83 : 510,199.43 = 199,945.95 : x
  2. Step 2: Convert to fraction form
    369,711.83/510,199.43 = 199,945.95/x
  3. Step 3: Cross multiply
    369,711.83x = 510,199.43 × 199,945.95
  4. Step 4: Simplify right side
    369,711.83x = 102,012,308,721.08
  5. Step 5: Solve for x
    x = 102,012,308,721.08/369,711.83
  6. Step 6: Final answer
    x = 275,923.85

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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.