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Finding the Fourth Proportional to 365,049.82, 547,918.29 and 185,264.38

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Solution

The fourth proportional to 365,049.82, 547,918.29 and 185,264.38 is: 278,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,049.82 : 547,918.29 = 185,264.38 : x
  2. Step 2: Convert to fraction form
    365,049.82/547,918.29 = 185,264.38/x
  3. Step 3: Cross multiply
    365,049.82x = 547,918.29 × 185,264.38
  4. Step 4: Simplify right side
    365,049.82x = 101,509,742,972.41
  5. Step 5: Solve for x
    x = 101,509,742,972.41/365,049.82
  6. Step 6: Final answer
    x = 278,070.93

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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.