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Finding the Fourth Proportional to 375,226.71, 517,807.71 and 205,460.82

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Solution

The fourth proportional to 375,226.71, 517,807.71 and 205,460.82 is: 283,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,226.71 : 517,807.71 = 205,460.82 : x
  2. Step 2: Convert to fraction form
    375,226.71/517,807.71 = 205,460.82/x
  3. Step 3: Cross multiply
    375,226.71x = 517,807.71 × 205,460.82
  4. Step 4: Simplify right side
    375,226.71x = 106,389,196,698.92
  5. Step 5: Solve for x
    x = 106,389,196,698.92/375,226.71
  6. Step 6: Final answer
    x = 283,533.11

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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.