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Finding the Fourth Proportional to 296,785.71, 409,571.81 and 182,127.68

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Solution

The fourth proportional to 296,785.71, 409,571.81 and 182,127.68 is: 251,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,785.71 : 409,571.81 = 182,127.68 : x
  2. Step 2: Convert to fraction form
    296,785.71/409,571.81 = 182,127.68/x
  3. Step 3: Cross multiply
    296,785.71x = 409,571.81 × 182,127.68
  4. Step 4: Simplify right side
    296,785.71x = 74,594,362,638.06
  5. Step 5: Solve for x
    x = 74,594,362,638.06/296,785.71
  6. Step 6: Final answer
    x = 251,340.82

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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.