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Finding the Fourth Proportional to 384,159.10, 529,892.13 and 233,256.10

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Solution

The fourth proportional to 384,159.10, 529,892.13 and 233,256.10 is: 321,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,159.10 : 529,892.13 = 233,256.10 : x
  2. Step 2: Convert to fraction form
    384,159.10/529,892.13 = 233,256.10/x
  3. Step 3: Cross multiply
    384,159.10x = 529,892.13 × 233,256.10
  4. Step 4: Simplify right side
    384,159.10x = 123,600,571,664.49
  5. Step 5: Solve for x
    x = 123,600,571,664.49/384,159.10
  6. Step 6: Final answer
    x = 321,743.18

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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.