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Finding the Fourth Proportional to 514,832.40, 772,277.94 and 173,138.64

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Solution

The fourth proportional to 514,832.40, 772,277.94 and 173,138.64 is: 259,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,832.40 : 772,277.94 = 173,138.64 : x
  2. Step 2: Convert to fraction form
    514,832.40/772,277.94 = 173,138.64/x
  3. Step 3: Cross multiply
    514,832.40x = 772,277.94 × 173,138.64
  4. Step 4: Simplify right side
    514,832.40x = 133,711,152,233.60
  5. Step 5: Solve for x
    x = 133,711,152,233.60/514,832.40
  6. Step 6: Final answer
    x = 259,717.83

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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.