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Finding the Fourth Proportional to 315,068.40, 472,602.60 and 196,873.20

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Solution

The fourth proportional to 315,068.40, 472,602.60 and 196,873.20 is: 295,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,068.40 : 472,602.60 = 196,873.20 : x
  2. Step 2: Convert to fraction form
    315,068.40/472,602.60 = 196,873.20/x
  3. Step 3: Cross multiply
    315,068.40x = 472,602.60 × 196,873.20
  4. Step 4: Simplify right side
    315,068.40x = 93,042,786,190.32
  5. Step 5: Solve for x
    x = 93,042,786,190.32/315,068.40
  6. Step 6: Final answer
    x = 295,309.80

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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.