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Finding the Fourth Proportional to 284,792.91, 393,026.52 and 157,468.50

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Solution

The fourth proportional to 284,792.91, 393,026.52 and 157,468.50 is: 217,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,792.91 : 393,026.52 = 157,468.50 : x
  2. Step 2: Convert to fraction form
    284,792.91/393,026.52 = 157,468.50/x
  3. Step 3: Cross multiply
    284,792.91x = 393,026.52 × 157,468.50
  4. Step 4: Simplify right side
    284,792.91x = 61,889,296,564.62
  5. Step 5: Solve for x
    x = 61,889,296,564.62/284,792.91
  6. Step 6: Final answer
    x = 217,313.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.