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Finding the Fourth Proportional to 551,409.30, 826,525.86 and 314,241.30

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Solution

The fourth proportional to 551,409.30, 826,525.86 and 314,241.30 is: 471,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,409.30 : 826,525.86 = 314,241.30 : x
  2. Step 2: Convert to fraction form
    551,409.30/826,525.86 = 314,241.30/x
  3. Step 3: Cross multiply
    551,409.30x = 826,525.86 × 314,241.30
  4. Step 4: Simplify right side
    551,409.30x = 259,728,560,730.02
  5. Step 5: Solve for x
    x = 259,728,560,730.02/551,409.30
  6. Step 6: Final answer
    x = 471,026.80

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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.