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Finding the Fourth Proportional to 284,736.32, 392,944.32 and 157,420.10

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Solution

The fourth proportional to 284,736.32, 392,944.32 and 157,420.10 is: 217,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,736.32 : 392,944.32 = 157,420.10 : x
  2. Step 2: Convert to fraction form
    284,736.32/392,944.32 = 157,420.10/x
  3. Step 3: Cross multiply
    284,736.32x = 392,944.32 × 157,420.10
  4. Step 4: Simplify right side
    284,736.32x = 61,857,334,148.83
  5. Step 5: Solve for x
    x = 61,857,334,148.83/284,736.32
  6. Step 6: Final answer
    x = 217,244.27

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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.