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Finding the Fourth Proportional to 403,670.84, 605,296.00 and 190,381.47

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Solution

The fourth proportional to 403,670.84, 605,296.00 and 190,381.47 is: 285,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,670.84 : 605,296.00 = 190,381.47 : x
  2. Step 2: Convert to fraction form
    403,670.84/605,296.00 = 190,381.47/x
  3. Step 3: Cross multiply
    403,670.84x = 605,296.00 × 190,381.47
  4. Step 4: Simplify right side
    403,670.84x = 115,237,141,789.17
  5. Step 5: Solve for x
    x = 115,237,141,789.17/403,670.84
  6. Step 6: Final answer
    x = 285,473.04

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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.