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Finding the Fourth Proportional to 463,314.30, 695,420.86 and 223,596.94

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Solution

The fourth proportional to 463,314.30, 695,420.86 and 223,596.94 is: 335,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,314.30 : 695,420.86 = 223,596.94 : x
  2. Step 2: Convert to fraction form
    463,314.30/695,420.86 = 223,596.94/x
  3. Step 3: Cross multiply
    463,314.30x = 695,420.86 × 223,596.94
  4. Step 4: Simplify right side
    463,314.30x = 155,493,976,308.17
  5. Step 5: Solve for x
    x = 155,493,976,308.17/463,314.30
  6. Step 6: Final answer
    x = 335,612.30

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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.