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Finding the Fourth Proportional to 460,882.36, 691,444.50 and 145,349.56

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Solution

The fourth proportional to 460,882.36, 691,444.50 and 145,349.56 is: 218,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882.36 : 691,444.50 = 145,349.56 : x
  2. Step 2: Convert to fraction form
    460,882.36/691,444.50 = 145,349.56/x
  3. Step 3: Cross multiply
    460,882.36x = 691,444.50 × 145,349.56
  4. Step 4: Simplify right side
    460,882.36x = 100,501,153,839.42
  5. Step 5: Solve for x
    x = 100,501,153,839.42/460,882.36
  6. Step 6: Final answer
    x = 218,062.49

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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.