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Finding the Fourth Proportional to 296,574.21, 409,305.56 and 169,271.37

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Solution

The fourth proportional to 296,574.21, 409,305.56 and 169,271.37 is: 233,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,574.21 : 409,305.56 = 169,271.37 : x
  2. Step 2: Convert to fraction form
    296,574.21/409,305.56 = 169,271.37/x
  3. Step 3: Cross multiply
    296,574.21x = 409,305.56 × 169,271.37
  4. Step 4: Simplify right side
    296,574.21x = 69,283,712,043.46
  5. Step 5: Solve for x
    x = 69,283,712,043.46/296,574.21
  6. Step 6: Final answer
    x = 233,613.41

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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.