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Finding the Fourth Proportional to 569,026.28, 785,272.20 and 314,393.96

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Solution

The fourth proportional to 569,026.28, 785,272.20 and 314,393.96 is: 433,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,026.28 : 785,272.20 = 314,393.96 : x
  2. Step 2: Convert to fraction form
    569,026.28/785,272.20 = 314,393.96/x
  3. Step 3: Cross multiply
    569,026.28x = 785,272.20 × 314,393.96
  4. Step 4: Simplify right side
    569,026.28x = 246,884,836,635.91
  5. Step 5: Solve for x
    x = 246,884,836,635.91/569,026.28
  6. Step 6: Final answer
    x = 433,872.47

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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.