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Finding the Fourth Proportional to 463,527.50, 695,399.67 and 143,662.64

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Solution

The fourth proportional to 463,527.50, 695,399.67 and 143,662.64 is: 215,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,527.50 : 695,399.67 = 143,662.64 : x
  2. Step 2: Convert to fraction form
    463,527.50/695,399.67 = 143,662.64/x
  3. Step 3: Cross multiply
    463,527.50x = 695,399.67 × 143,662.64
  4. Step 4: Simplify right side
    463,527.50x = 99,902,948,970.33
  5. Step 5: Solve for x
    x = 99,902,948,970.33/463,527.50
  6. Step 6: Final answer
    x = 215,527.56

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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.