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Finding the Fourth Proportional to 316,902.22, 475,033.46 and 198,656.60

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Solution

The fourth proportional to 316,902.22, 475,033.46 and 198,656.60 is: 297,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,902.22 : 475,033.46 = 198,656.60 : x
  2. Step 2: Convert to fraction form
    316,902.22/475,033.46 = 198,656.60/x
  3. Step 3: Cross multiply
    316,902.22x = 475,033.46 × 198,656.60
  4. Step 4: Simplify right side
    316,902.22x = 94,368,529,674.67
  5. Step 5: Solve for x
    x = 94,368,529,674.67/316,902.22
  6. Step 6: Final answer
    x = 297,784.38

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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.