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Finding the Fourth Proportional to 375,046.66, 517,508.75 and 227,794.95

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Solution

The fourth proportional to 375,046.66, 517,508.75 and 227,794.95 is: 314,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,046.66 : 517,508.75 = 227,794.95 : x
  2. Step 2: Convert to fraction form
    375,046.66/517,508.75 = 227,794.95/x
  3. Step 3: Cross multiply
    375,046.66x = 517,508.75 × 227,794.95
  4. Step 4: Simplify right side
    375,046.66x = 117,885,879,830.81
  5. Step 5: Solve for x
    x = 117,885,879,830.81/375,046.66
  6. Step 6: Final answer
    x = 314,323.24

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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.