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Finding the Fourth Proportional to 577,164.47, 865,759.01 and 198,083.57

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Solution

The fourth proportional to 577,164.47, 865,759.01 and 198,083.57 is: 297,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,164.47 : 865,759.01 = 198,083.57 : x
  2. Step 2: Convert to fraction form
    577,164.47/865,759.01 = 198,083.57/x
  3. Step 3: Cross multiply
    577,164.47x = 865,759.01 × 198,083.57
  4. Step 4: Simplify right side
    577,164.47x = 171,492,630,141.25
  5. Step 5: Solve for x
    x = 171,492,630,141.25/577,164.47
  6. Step 6: Final answer
    x = 297,129.57

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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.