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Finding the Fourth Proportional to 284,196.96, 392,208 and 169,445.16

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Solution

The fourth proportional to 284,196.96, 392,208 and 169,445.16 is: 233,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,196.96 : 392,208 = 169,445.16 : x
  2. Step 2: Convert to fraction form
    284,196.96/392,208 = 169,445.16/x
  3. Step 3: Cross multiply
    284,196.96x = 392,208 × 169,445.16
  4. Step 4: Simplify right side
    284,196.96x = 66,457,747,313.28
  5. Step 5: Solve for x
    x = 66,457,747,313.28/284,196.96
  6. Step 6: Final answer
    x = 233,843.98

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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.