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Finding the Fourth Proportional to 369,844.66, 510,386.16 and 200,078.38

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Solution

The fourth proportional to 369,844.66, 510,386.16 and 200,078.38 is: 276,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,844.66 : 510,386.16 = 200,078.38 : x
  2. Step 2: Convert to fraction form
    369,844.66/510,386.16 = 200,078.38/x
  3. Step 3: Cross multiply
    369,844.66x = 510,386.16 × 200,078.38
  4. Step 4: Simplify right side
    369,844.66x = 102,117,236,067.22
  5. Step 5: Solve for x
    x = 102,117,236,067.22/369,844.66
  6. Step 6: Final answer
    x = 276,108.45

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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.