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Finding the Fourth Proportional to 614,608, 922,067.52 and 171,376

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Solution

The fourth proportional to 614,608, 922,067.52 and 171,376 is: 257,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,608 : 922,067.52 = 171,376 : x
  2. Step 2: Convert to fraction form
    614,608/922,067.52 = 171,376/x
  3. Step 3: Cross multiply
    614,608x = 922,067.52 × 171,376
  4. Step 4: Simplify right side
    614,608x = 158,020,243,307.52
  5. Step 5: Solve for x
    x = 158,020,243,307.52/614,608
  6. Step 6: Final answer
    x = 257,107.36

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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.