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Finding the Fourth Proportional to 577,447.14, 865,954.98 and 198,260.22

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Solution

The fourth proportional to 577,447.14, 865,954.98 and 198,260.22 is: 297,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,447.14 : 865,954.98 = 198,260.22 : x
  2. Step 2: Convert to fraction form
    577,447.14/865,954.98 = 198,260.22/x
  3. Step 3: Cross multiply
    577,447.14x = 865,954.98 × 198,260.22
  4. Step 4: Simplify right side
    577,447.14x = 171,684,424,844.90
  5. Step 5: Solve for x
    x = 171,684,424,844.90/577,447.14
  6. Step 6: Final answer
    x = 297,316.26

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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.