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Finding the Fourth Proportional to 368,011.71, 507,856.41 and 204,664.61

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Solution

The fourth proportional to 368,011.71, 507,856.41 and 204,664.61 is: 282,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,011.71 : 507,856.41 = 204,664.61 : x
  2. Step 2: Convert to fraction form
    368,011.71/507,856.41 = 204,664.61/x
  3. Step 3: Cross multiply
    368,011.71x = 507,856.41 × 204,664.61
  4. Step 4: Simplify right side
    368,011.71x = 103,940,231,549.37
  5. Step 5: Solve for x
    x = 103,940,231,549.37/368,011.71
  6. Step 6: Final answer
    x = 282,437.29

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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.