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Finding the Fourth Proportional to 284,383.44, 392,451.48 and 157,061.16

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Solution

The fourth proportional to 284,383.44, 392,451.48 and 157,061.16 is: 216,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,383.44 : 392,451.48 = 157,061.16 : x
  2. Step 2: Convert to fraction form
    284,383.44/392,451.48 = 157,061.16/x
  3. Step 3: Cross multiply
    284,383.44x = 392,451.48 × 157,061.16
  4. Step 4: Simplify right side
    284,383.44x = 61,638,884,692.52
  5. Step 5: Solve for x
    x = 61,638,884,692.52/284,383.44
  6. Step 6: Final answer
    x = 216,745.69

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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.