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Finding the Fourth Proportional to 284,074.68, 426,111.44 and 165,663.04

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Solution

The fourth proportional to 284,074.68, 426,111.44 and 165,663.04 is: 248,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,074.68 : 426,111.44 = 165,663.04 : x
  2. Step 2: Convert to fraction form
    284,074.68/426,111.44 = 165,663.04/x
  3. Step 3: Cross multiply
    284,074.68x = 426,111.44 × 165,663.04
  4. Step 4: Simplify right side
    284,074.68x = 70,590,916,529.18
  5. Step 5: Solve for x
    x = 70,590,916,529.18/284,074.68
  6. Step 6: Final answer
    x = 248,494.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.