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Finding the Fourth Proportional to 569,397.88, 785,773.76 and 314,753.32

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Solution

The fourth proportional to 569,397.88, 785,773.76 and 314,753.32 is: 434,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,397.88 : 785,773.76 = 314,753.32 : x
  2. Step 2: Convert to fraction form
    569,397.88/785,773.76 = 314,753.32/x
  3. Step 3: Cross multiply
    569,397.88x = 785,773.76 × 314,753.32
  4. Step 4: Simplify right side
    569,397.88x = 247,324,899,728.88
  5. Step 5: Solve for x
    x = 247,324,899,728.88/569,397.88
  6. Step 6: Final answer
    x = 434,362.17

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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.