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Finding the Fourth Proportional to 284,742.62, 392,927.93 and 157,410.62

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Solution

The fourth proportional to 284,742.62, 392,927.93 and 157,410.62 is: 217,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,742.62 : 392,927.93 = 157,410.62 : x
  2. Step 2: Convert to fraction form
    284,742.62/392,927.93 = 157,410.62/x
  3. Step 3: Cross multiply
    284,742.62x = 392,927.93 × 157,410.62
  4. Step 4: Simplify right side
    284,742.62x = 61,851,026,324.92
  5. Step 5: Solve for x
    x = 61,851,026,324.92/284,742.62
  6. Step 6: Final answer
    x = 217,217.32

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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.