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Finding the Fourth Proportional to 553,840.56, 830,908.52 and 198,857.66

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Solution

The fourth proportional to 553,840.56, 830,908.52 and 198,857.66 is: 298,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,840.56 : 830,908.52 = 198,857.66 : x
  2. Step 2: Convert to fraction form
    553,840.56/830,908.52 = 198,857.66/x
  3. Step 3: Cross multiply
    553,840.56x = 830,908.52 × 198,857.66
  4. Step 4: Simplify right side
    553,840.56x = 165,232,522,381.14
  5. Step 5: Solve for x
    x = 165,232,522,381.14/553,840.56
  6. Step 6: Final answer
    x = 298,339.51

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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.