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Finding the Fourth Proportional to 407,001.42, 561,697.47 and 237,231.90

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Solution

The fourth proportional to 407,001.42, 561,697.47 and 237,231.90 is: 327,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,001.42 : 561,697.47 = 237,231.90 : x
  2. Step 2: Convert to fraction form
    407,001.42/561,697.47 = 237,231.90/x
  3. Step 3: Cross multiply
    407,001.42x = 561,697.47 × 237,231.90
  4. Step 4: Simplify right side
    407,001.42x = 133,252,558,033.29
  5. Step 5: Solve for x
    x = 133,252,558,033.29/407,001.42
  6. Step 6: Final answer
    x = 327,400.72

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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.