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Finding the Fourth Proportional to 265,489.68, 397,713.05 and 175,257.47

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Solution

The fourth proportional to 265,489.68, 397,713.05 and 175,257.47 is: 262,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,489.68 : 397,713.05 = 175,257.47 : x
  2. Step 2: Convert to fraction form
    265,489.68/397,713.05 = 175,257.47/x
  3. Step 3: Cross multiply
    265,489.68x = 397,713.05 × 175,257.47
  4. Step 4: Simplify right side
    265,489.68x = 69,702,182,928.98
  5. Step 5: Solve for x
    x = 69,702,182,928.98/265,489.68
  6. Step 6: Final answer
    x = 262,541.97

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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.