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Finding the Fourth Proportional to 329,077.80, 493,472.70 and 151,525.80

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Solution

The fourth proportional to 329,077.80, 493,472.70 and 151,525.80 is: 227,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,077.80 : 493,472.70 = 151,525.80 : x
  2. Step 2: Convert to fraction form
    329,077.80/493,472.70 = 151,525.80/x
  3. Step 3: Cross multiply
    329,077.80x = 493,472.70 × 151,525.80
  4. Step 4: Simplify right side
    329,077.80x = 74,773,845,645.66
  5. Step 5: Solve for x
    x = 74,773,845,645.66/329,077.80
  6. Step 6: Final answer
    x = 227,222.39

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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.