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Finding the Fourth Proportional to 583,233, 804,861.54 and 314,961

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Solution

The fourth proportional to 583,233, 804,861.54 and 314,961 is: 434,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,233 : 804,861.54 = 314,961 : x
  2. Step 2: Convert to fraction form
    583,233/804,861.54 = 314,961/x
  3. Step 3: Cross multiply
    583,233x = 804,861.54 × 314,961
  4. Step 4: Simplify right side
    583,233x = 253,499,995,499.94
  5. Step 5: Solve for x
    x = 253,499,995,499.94/583,233
  6. Step 6: Final answer
    x = 434,646.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.