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Finding the Fourth Proportional to 384,644.72, 577,032.69 and 171,489.98

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Solution

The fourth proportional to 384,644.72, 577,032.69 and 171,489.98 is: 257,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,644.72 : 577,032.69 = 171,489.98 : x
  2. Step 2: Convert to fraction form
    384,644.72/577,032.69 = 171,489.98/x
  3. Step 3: Cross multiply
    384,644.72x = 577,032.69 × 171,489.98
  4. Step 4: Simplify right side
    384,644.72x = 98,955,321,582.28
  5. Step 5: Solve for x
    x = 98,955,321,582.28/384,644.72
  6. Step 6: Final answer
    x = 257,264.22

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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.