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Finding the Fourth Proportional to 565,524.02, 780,605.22 and 362,123

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Solution

The fourth proportional to 565,524.02, 780,605.22 and 362,123 is: 499,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,524.02 : 780,605.22 = 362,123 : x
  2. Step 2: Convert to fraction form
    565,524.02/780,605.22 = 362,123/x
  3. Step 3: Cross multiply
    565,524.02x = 780,605.22 × 362,123
  4. Step 4: Simplify right side
    565,524.02x = 282,675,104,082.06
  5. Step 5: Solve for x
    x = 282,675,104,082.06/565,524.02
  6. Step 6: Final answer
    x = 499,846.33

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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.