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Finding the Fourth Proportional to 384,634.88, 577,006.92 and 118,417.52

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Solution

The fourth proportional to 384,634.88, 577,006.92 and 118,417.52 is: 177,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,634.88 : 577,006.92 = 118,417.52 : x
  2. Step 2: Convert to fraction form
    384,634.88/577,006.92 = 118,417.52/x
  3. Step 3: Cross multiply
    384,634.88x = 577,006.92 × 118,417.52
  4. Step 4: Simplify right side
    384,634.88x = 68,327,728,489.24
  5. Step 5: Solve for x
    x = 68,327,728,489.24/384,634.88
  6. Step 6: Final answer
    x = 177,643.09

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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.