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Finding the Fourth Proportional to 296,581.50, 409,282.47 and 169,254.36

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Solution

The fourth proportional to 296,581.50, 409,282.47 and 169,254.36 is: 233,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,581.50 : 409,282.47 = 169,254.36 : x
  2. Step 2: Convert to fraction form
    296,581.50/409,282.47 = 169,254.36/x
  3. Step 3: Cross multiply
    296,581.50x = 409,282.47 × 169,254.36
  4. Step 4: Simplify right side
    296,581.50x = 69,272,842,519.07
  5. Step 5: Solve for x
    x = 69,272,842,519.07/296,581.50
  6. Step 6: Final answer
    x = 233,571.02

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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.