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Finding the Fourth Proportional to 299,802.24, 413,753.28 and 165,692.16

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Solution

The fourth proportional to 299,802.24, 413,753.28 and 165,692.16 is: 228,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,802.24 : 413,753.28 = 165,692.16 : x
  2. Step 2: Convert to fraction form
    299,802.24/413,753.28 = 165,692.16/x
  3. Step 3: Cross multiply
    299,802.24x = 413,753.28 × 165,692.16
  4. Step 4: Simplify right side
    299,802.24x = 68,555,674,670.28
  5. Step 5: Solve for x
    x = 68,555,674,670.28/299,802.24
  6. Step 6: Final answer
    x = 228,669.65

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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.