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Finding the Fourth Proportional to 296,512.84, 409,178.82 and 169,185.16

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Solution

The fourth proportional to 296,512.84, 409,178.82 and 169,185.16 is: 233,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,512.84 : 409,178.82 = 169,185.16 : x
  2. Step 2: Convert to fraction form
    296,512.84/409,178.82 = 169,185.16/x
  3. Step 3: Cross multiply
    296,512.84x = 409,178.82 × 169,185.16
  4. Step 4: Simplify right side
    296,512.84x = 69,226,984,130.31
  5. Step 5: Solve for x
    x = 69,226,984,130.31/296,512.84
  6. Step 6: Final answer
    x = 233,470.44

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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.