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Finding the Fourth Proportional to 569,042.64, 785,287.08 and 314,399.70

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Solution

The fourth proportional to 569,042.64, 785,287.08 and 314,399.70 is: 433,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,042.64 : 785,287.08 = 314,399.70 : x
  2. Step 2: Convert to fraction form
    569,042.64/785,287.08 = 314,399.70/x
  3. Step 3: Cross multiply
    569,042.64x = 785,287.08 × 314,399.70
  4. Step 4: Simplify right side
    569,042.64x = 246,894,022,365.88
  5. Step 5: Solve for x
    x = 246,894,022,365.88/569,042.64
  6. Step 6: Final answer
    x = 433,876.14

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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.