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Finding the Fourth Proportional to 363,840.93, 545,819.72 and 153,509.85

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Solution

The fourth proportional to 363,840.93, 545,819.72 and 153,509.85 is: 230,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,840.93 : 545,819.72 = 153,509.85 : x
  2. Step 2: Convert to fraction form
    363,840.93/545,819.72 = 153,509.85/x
  3. Step 3: Cross multiply
    363,840.93x = 545,819.72 × 153,509.85
  4. Step 4: Simplify right side
    363,840.93x = 83,788,702,576.69
  5. Step 5: Solve for x
    x = 83,788,702,576.69/363,840.93
  6. Step 6: Final answer
    x = 230,289.38

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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.