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Finding the Fourth Proportional to 296,772.84, 409,537.62 and 169,423.56

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Solution

The fourth proportional to 296,772.84, 409,537.62 and 169,423.56 is: 233,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,772.84 : 409,537.62 = 169,423.56 : x
  2. Step 2: Convert to fraction form
    296,772.84/409,537.62 = 169,423.56/x
  3. Step 3: Cross multiply
    296,772.84x = 409,537.62 × 169,423.56
  4. Step 4: Simplify right side
    296,772.84x = 69,385,321,534.33
  5. Step 5: Solve for x
    x = 69,385,321,534.33/296,772.84
  6. Step 6: Final answer
    x = 233,799.43

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1.5x scale

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.