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Finding the Fourth Proportional to 565,432.26, 780,410.01 and 335,945.37

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Solution

The fourth proportional to 565,432.26, 780,410.01 and 335,945.37 is: 463,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,432.26 : 780,410.01 = 335,945.37 : x
  2. Step 2: Convert to fraction form
    565,432.26/780,410.01 = 335,945.37/x
  3. Step 3: Cross multiply
    565,432.26x = 780,410.01 × 335,945.37
  4. Step 4: Simplify right side
    565,432.26x = 262,175,129,561.15
  5. Step 5: Solve for x
    x = 262,175,129,561.15/565,432.26
  6. Step 6: Final answer
    x = 463,672.04

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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.