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Finding the Fourth Proportional to 409,893.60, 614,926.80 and 173,114.40

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Solution

The fourth proportional to 409,893.60, 614,926.80 and 173,114.40 is: 259,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.60 : 614,926.80 = 173,114.40 : x
  2. Step 2: Convert to fraction form
    409,893.60/614,926.80 = 173,114.40/x
  3. Step 3: Cross multiply
    409,893.60x = 614,926.80 × 173,114.40
  4. Step 4: Simplify right side
    409,893.60x = 106,452,684,025.92
  5. Step 5: Solve for x
    x = 106,452,684,025.92/409,893.60
  6. Step 6: Final answer
    x = 259,708.09

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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.