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Finding the Fourth Proportional to 409,851.37, 614,818.07 and 125,538.64

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Solution

The fourth proportional to 409,851.37, 614,818.07 and 125,538.64 is: 188,320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,851.37 : 614,818.07 = 125,538.64 : x
  2. Step 2: Convert to fraction form
    409,851.37/614,818.07 = 125,538.64/x
  3. Step 3: Cross multiply
    409,851.37x = 614,818.07 × 125,538.64
  4. Step 4: Simplify right side
    409,851.37x = 77,183,424,355.22
  5. Step 5: Solve for x
    x = 77,183,424,355.22/409,851.37
  6. Step 6: Final answer
    x = 188,320.52

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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.