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Finding the Fourth Proportional to 296,775.34, 409,541.07 and 169,426.06

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Solution

The fourth proportional to 296,775.34, 409,541.07 and 169,426.06 is: 233,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,775.34 : 409,541.07 = 169,426.06 : x
  2. Step 2: Convert to fraction form
    296,775.34/409,541.07 = 169,426.06/x
  3. Step 3: Cross multiply
    296,775.34x = 409,541.07 × 169,426.06
  4. Step 4: Simplify right side
    296,775.34x = 69,386,929,898.28
  5. Step 5: Solve for x
    x = 69,386,929,898.28/296,775.34
  6. Step 6: Final answer
    x = 233,802.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.