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Finding the Fourth Proportional to 541,165.78, 810,972.06 and 304,009.30

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Solution

The fourth proportional to 541,165.78, 810,972.06 and 304,009.30 is: 455,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,165.78 : 810,972.06 = 304,009.30 : x
  2. Step 2: Convert to fraction form
    541,165.78/810,972.06 = 304,009.30/x
  3. Step 3: Cross multiply
    541,165.78x = 810,972.06 × 304,009.30
  4. Step 4: Simplify right side
    541,165.78x = 246,543,048,280.16
  5. Step 5: Solve for x
    x = 246,543,048,280.16/541,165.78
  6. Step 6: Final answer
    x = 455,577.68

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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.