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Finding the Fourth Proportional to 296,600.32, 409,313.28 and 162,455.68

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Solution

The fourth proportional to 296,600.32, 409,313.28 and 162,455.68 is: 224,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,600.32 : 409,313.28 = 162,455.68 : x
  2. Step 2: Convert to fraction form
    296,600.32/409,313.28 = 162,455.68/x
  3. Step 3: Cross multiply
    296,600.32x = 409,313.28 × 162,455.68
  4. Step 4: Simplify right side
    296,600.32x = 66,495,267,235.43
  5. Step 5: Solve for x
    x = 66,495,267,235.43/296,600.32
  6. Step 6: Final answer
    x = 224,191.49

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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.