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Finding the Fourth Proportional to 374,296.70, 516,530.79 and 204,530.82

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Solution

The fourth proportional to 374,296.70, 516,530.79 and 204,530.82 is: 282,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,296.70 : 516,530.79 = 204,530.82 : x
  2. Step 2: Convert to fraction form
    374,296.70/516,530.79 = 204,530.82/x
  3. Step 3: Cross multiply
    374,296.70x = 516,530.79 × 204,530.82
  4. Step 4: Simplify right side
    374,296.70x = 105,646,466,033.95
  5. Step 5: Solve for x
    x = 105,646,466,033.95/374,296.70
  6. Step 6: Final answer
    x = 282,253.27

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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.