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Finding the Fourth Proportional to 296,406.84, 409,080.06 and 169,107.24

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Solution

The fourth proportional to 296,406.84, 409,080.06 and 169,107.24 is: 233,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,406.84 : 409,080.06 = 169,107.24 : x
  2. Step 2: Convert to fraction form
    296,406.84/409,080.06 = 169,107.24/x
  3. Step 3: Cross multiply
    296,406.84x = 409,080.06 × 169,107.24
  4. Step 4: Simplify right side
    296,406.84x = 69,178,399,885.63
  5. Step 5: Solve for x
    x = 69,178,399,885.63/296,406.84
  6. Step 6: Final answer
    x = 233,390.03

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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.