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Finding the Fourth Proportional to 505,859.43, 757,429.47 and 385,342.32

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Solution

The fourth proportional to 505,859.43, 757,429.47 and 385,342.32 is: 576,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,859.43 : 757,429.47 = 385,342.32 : x
  2. Step 2: Convert to fraction form
    505,859.43/757,429.47 = 385,342.32/x
  3. Step 3: Cross multiply
    505,859.43x = 757,429.47 × 385,342.32
  4. Step 4: Simplify right side
    505,859.43x = 291,869,629,206.17
  5. Step 5: Solve for x
    x = 291,869,629,206.17/505,859.43
  6. Step 6: Final answer
    x = 576,977.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.