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Finding the Fourth Proportional to 505,441.47, 697,490.96 and 279,082.11

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Solution

The fourth proportional to 505,441.47, 697,490.96 and 279,082.11 is: 385,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,441.47 : 697,490.96 = 279,082.11 : x
  2. Step 2: Convert to fraction form
    505,441.47/697,490.96 = 279,082.11/x
  3. Step 3: Cross multiply
    505,441.47x = 697,490.96 × 279,082.11
  4. Step 4: Simplify right side
    505,441.47x = 194,657,247,427.32
  5. Step 5: Solve for x
    x = 194,657,247,427.32/505,441.47
  6. Step 6: Final answer
    x = 385,123.22

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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.