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Finding the Fourth Proportional to 553,168.26, 829,227.51 and 197,999.46

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Solution

The fourth proportional to 553,168.26, 829,227.51 and 197,999.46 is: 296,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,168.26 : 829,227.51 = 197,999.46 : x
  2. Step 2: Convert to fraction form
    553,168.26/829,227.51 = 197,999.46/x
  3. Step 3: Cross multiply
    553,168.26x = 829,227.51 × 197,999.46
  4. Step 4: Simplify right side
    553,168.26x = 164,186,599,197.15
  5. Step 5: Solve for x
    x = 164,186,599,197.15/553,168.26
  6. Step 6: Final answer
    x = 296,811.32

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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.