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Finding the Fourth Proportional to 384,094.47, 530,262.67 and 231,170.20

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Solution

The fourth proportional to 384,094.47, 530,262.67 and 231,170.20 is: 319,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,094.47 : 530,262.67 = 231,170.20 : x
  2. Step 2: Convert to fraction form
    384,094.47/530,262.67 = 231,170.20/x
  3. Step 3: Cross multiply
    384,094.47x = 530,262.67 × 231,170.20
  4. Step 4: Simplify right side
    384,094.47x = 122,580,927,476.43
  5. Step 5: Solve for x
    x = 122,580,927,476.43/384,094.47
  6. Step 6: Final answer
    x = 319,142.65

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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.