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Finding the Fourth Proportional to 299,463.84, 413,262 and 165,327.84

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Solution

The fourth proportional to 299,463.84, 413,262 and 165,327.84 is: 228,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,463.84 : 413,262 = 165,327.84 : x
  2. Step 2: Convert to fraction form
    299,463.84/413,262 = 165,327.84/x
  3. Step 3: Cross multiply
    299,463.84x = 413,262 × 165,327.84
  4. Step 4: Simplify right side
    299,463.84x = 68,323,713,814.08
  5. Step 5: Solve for x
    x = 68,323,713,814.08/299,463.84
  6. Step 6: Final answer
    x = 228,153.47

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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.