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Finding the Fourth Proportional to 407,197.59, 561,933.15 and 237,464.52

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Solution

The fourth proportional to 407,197.59, 561,933.15 and 237,464.52 is: 327,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,197.59 : 561,933.15 = 237,464.52 : x
  2. Step 2: Convert to fraction form
    407,197.59/561,933.15 = 237,464.52/x
  3. Step 3: Cross multiply
    407,197.59x = 561,933.15 × 237,464.52
  4. Step 4: Simplify right side
    407,197.59x = 133,439,185,736.84
  5. Step 5: Solve for x
    x = 133,439,185,736.84/407,197.59
  6. Step 6: Final answer
    x = 327,701.32

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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.