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Finding the Fourth Proportional to 231,762.80, 347,903.40 and 179,404.40

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Solution

The fourth proportional to 231,762.80, 347,903.40 and 179,404.40 is: 269,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,762.80 : 347,903.40 = 179,404.40 : x
  2. Step 2: Convert to fraction form
    231,762.80/347,903.40 = 179,404.40/x
  3. Step 3: Cross multiply
    231,762.80x = 347,903.40 × 179,404.40
  4. Step 4: Simplify right side
    231,762.80x = 62,415,400,734.96
  5. Step 5: Solve for x
    x = 62,415,400,734.96/231,762.80
  6. Step 6: Final answer
    x = 269,307.24

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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.