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Finding the Fourth Proportional to 463,144.86, 695,354.84 and 235,594.53

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Solution

The fourth proportional to 463,144.86, 695,354.84 and 235,594.53 is: 353,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,144.86 : 695,354.84 = 235,594.53 : x
  2. Step 2: Convert to fraction form
    463,144.86/695,354.84 = 235,594.53/x
  3. Step 3: Cross multiply
    463,144.86x = 695,354.84 × 235,594.53
  4. Step 4: Simplify right side
    463,144.86x = 163,821,795,535.05
  5. Step 5: Solve for x
    x = 163,821,795,535.05/463,144.86
  6. Step 6: Final answer
    x = 353,716.10

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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.