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Finding the Fourth Proportional to 209,400.85, 313,730.70 and 202,463.20

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Solution

The fourth proportional to 209,400.85, 313,730.70 and 202,463.20 is: 303,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,400.85 : 313,730.70 = 202,463.20 : x
  2. Step 2: Convert to fraction form
    209,400.85/313,730.70 = 202,463.20/x
  3. Step 3: Cross multiply
    209,400.85x = 313,730.70 × 202,463.20
  4. Step 4: Simplify right side
    209,400.85x = 63,518,921,460.24
  5. Step 5: Solve for x
    x = 63,518,921,460.24/209,400.85
  6. Step 6: Final answer
    x = 303,336.50

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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.