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Finding the Fourth Proportional to 561,530.13, 774,691.83 and 346,296.57

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Solution

The fourth proportional to 561,530.13, 774,691.83 and 346,296.57 is: 477,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,530.13 : 774,691.83 = 346,296.57 : x
  2. Step 2: Convert to fraction form
    561,530.13/774,691.83 = 346,296.57/x
  3. Step 3: Cross multiply
    561,530.13x = 774,691.83 × 346,296.57
  4. Step 4: Simplify right side
    561,530.13x = 268,273,123,536.02
  5. Step 5: Solve for x
    x = 268,273,123,536.02/561,530.13
  6. Step 6: Final answer
    x = 477,753.75

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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.