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Finding the Fourth Proportional to 614,612, 922,073.52 and 171,380

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Solution

The fourth proportional to 614,612, 922,073.52 and 171,380 is: 257,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,612 : 922,073.52 = 171,380 : x
  2. Step 2: Convert to fraction form
    614,612/922,073.52 = 171,380/x
  3. Step 3: Cross multiply
    614,612x = 922,073.52 × 171,380
  4. Step 4: Simplify right side
    614,612x = 158,024,959,857.60
  5. Step 5: Solve for x
    x = 158,024,959,857.60/614,612
  6. Step 6: Final answer
    x = 257,113.37

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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.