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Finding the Fourth Proportional to 583,232.75, 804,861.20 and 314,960.75

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Solution

The fourth proportional to 583,232.75, 804,861.20 and 314,960.75 is: 434,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,232.75 : 804,861.20 = 314,960.75 : x
  2. Step 2: Convert to fraction form
    583,232.75/804,861.20 = 314,960.75/x
  3. Step 3: Cross multiply
    583,232.75x = 804,861.20 × 314,960.75
  4. Step 4: Simplify right side
    583,232.75x = 253,499,687,197.90
  5. Step 5: Solve for x
    x = 253,499,687,197.90/583,232.75
  6. Step 6: Final answer
    x = 434,645.84

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Double scale
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1.5x scale

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.