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Finding the Fourth Proportional to 403,896.30, 605,844.45 and 291,338.70

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Solution

The fourth proportional to 403,896.30, 605,844.45 and 291,338.70 is: 437,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,896.30 : 605,844.45 = 291,338.70 : x
  2. Step 2: Convert to fraction form
    403,896.30/605,844.45 = 291,338.70/x
  3. Step 3: Cross multiply
    403,896.30x = 605,844.45 × 291,338.70
  4. Step 4: Simplify right side
    403,896.30x = 176,505,934,465.22
  5. Step 5: Solve for x
    x = 176,505,934,465.22/403,896.30
  6. Step 6: Final answer
    x = 437,008.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.