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Finding the Fourth Proportional to 413,080.94, 570,005.42 and 231,755.16

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Solution

The fourth proportional to 413,080.94, 570,005.42 and 231,755.16 is: 319,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,080.94 : 570,005.42 = 231,755.16 : x
  2. Step 2: Convert to fraction form
    413,080.94/570,005.42 = 231,755.16/x
  3. Step 3: Cross multiply
    413,080.94x = 570,005.42 × 231,755.16
  4. Step 4: Simplify right side
    413,080.94x = 132,101,697,312.97
  5. Step 5: Solve for x
    x = 132,101,697,312.97/413,080.94
  6. Step 6: Final answer
    x = 319,796.16

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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.