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Finding the Fourth Proportional to 565,439.23, 780,419.64 and 335,952.37

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Solution

The fourth proportional to 565,439.23, 780,419.64 and 335,952.37 is: 463,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,439.23 : 780,419.64 = 335,952.37 : x
  2. Step 2: Convert to fraction form
    565,439.23/780,419.64 = 335,952.37/x
  3. Step 3: Cross multiply
    565,439.23x = 780,419.64 × 335,952.37
  4. Step 4: Simplify right side
    565,439.23x = 262,183,827,652.55
  5. Step 5: Solve for x
    x = 262,183,827,652.55/565,439.23
  6. Step 6: Final answer
    x = 463,681.71

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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.