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Finding the Fourth Proportional to 384,565.71, 577,017.69 and 204,608.82

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Solution

The fourth proportional to 384,565.71, 577,017.69 and 204,608.82 is: 307,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,565.71 : 577,017.69 = 204,608.82 : x
  2. Step 2: Convert to fraction form
    384,565.71/577,017.69 = 204,608.82/x
  3. Step 3: Cross multiply
    384,565.71x = 577,017.69 × 204,608.82
  4. Step 4: Simplify right side
    384,565.71x = 118,062,906,820.84
  5. Step 5: Solve for x
    x = 118,062,906,820.84/384,565.71
  6. Step 6: Final answer
    x = 307,003.21

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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.