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Finding the Fourth Proportional to 351,419.80, 527,129.70 and 174,272.80

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Solution

The fourth proportional to 351,419.80, 527,129.70 and 174,272.80 is: 261,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,419.80 : 527,129.70 = 174,272.80 : x
  2. Step 2: Convert to fraction form
    351,419.80/527,129.70 = 174,272.80/x
  3. Step 3: Cross multiply
    351,419.80x = 527,129.70 × 174,272.80
  4. Step 4: Simplify right side
    351,419.80x = 91,864,368,782.16
  5. Step 5: Solve for x
    x = 91,864,368,782.16/351,419.80
  6. Step 6: Final answer
    x = 261,409.20

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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.