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Finding the Fourth Proportional to 296,984, 409,838 and 162,850.88

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Solution

The fourth proportional to 296,984, 409,838 and 162,850.88 is: 224,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,984 : 409,838 = 162,850.88 : x
  2. Step 2: Convert to fraction form
    296,984/409,838 = 162,850.88/x
  3. Step 3: Cross multiply
    296,984x = 409,838 × 162,850.88
  4. Step 4: Simplify right side
    296,984x = 66,742,478,957.44
  5. Step 5: Solve for x
    x = 66,742,478,957.44/296,984
  6. Step 6: Final answer
    x = 224,734.26

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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.