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Finding the Fourth Proportional to 569,080.26, 785,329.16 and 314,429.63

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Solution

The fourth proportional to 569,080.26, 785,329.16 and 314,429.63 is: 433,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,080.26 : 785,329.16 = 314,429.63 : x
  2. Step 2: Convert to fraction form
    569,080.26/785,329.16 = 314,429.63/x
  3. Step 3: Cross multiply
    569,080.26x = 785,329.16 × 314,429.63
  4. Step 4: Simplify right side
    569,080.26x = 246,930,751,708.22
  5. Step 5: Solve for x
    x = 246,930,751,708.22/569,080.26
  6. Step 6: Final answer
    x = 433,912.00

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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.