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Finding the Fourth Proportional to 409,300.93, 614,043.43 and 124,967.70

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Solution

The fourth proportional to 409,300.93, 614,043.43 and 124,967.70 is: 187,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,300.93 : 614,043.43 = 124,967.70 : x
  2. Step 2: Convert to fraction form
    409,300.93/614,043.43 = 124,967.70/x
  3. Step 3: Cross multiply
    409,300.93x = 614,043.43 × 124,967.70
  4. Step 4: Simplify right side
    409,300.93x = 76,735,591,452.16
  5. Step 5: Solve for x
    x = 76,735,591,452.16/409,300.93
  6. Step 6: Final answer
    x = 187,479.64

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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.