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Finding the Fourth Proportional to 463,311.93, 695,417.30 and 223,594.56

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Solution

The fourth proportional to 463,311.93, 695,417.30 and 223,594.56 is: 335,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,311.93 : 695,417.30 = 223,594.56 : x
  2. Step 2: Convert to fraction form
    463,311.93/695,417.30 = 223,594.56/x
  3. Step 3: Cross multiply
    463,311.93x = 695,417.30 × 223,594.56
  4. Step 4: Simplify right side
    463,311.93x = 155,491,525,209.89
  5. Step 5: Solve for x
    x = 155,491,525,209.89/463,311.93
  6. Step 6: Final answer
    x = 335,608.72

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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.