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Finding the Fourth Proportional to 569,015.28, 785,257.02 and 314,382.96

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Solution

The fourth proportional to 569,015.28, 785,257.02 and 314,382.96 is: 433,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,015.28 : 785,257.02 = 314,382.96 : x
  2. Step 2: Convert to fraction form
    569,015.28/785,257.02 = 314,382.96/x
  3. Step 3: Cross multiply
    569,015.28x = 785,257.02 × 314,382.96
  4. Step 4: Simplify right side
    569,015.28x = 246,871,426,308.38
  5. Step 5: Solve for x
    x = 246,871,426,308.38/569,015.28
  6. Step 6: Final answer
    x = 433,857.29

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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.