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Finding the Fourth Proportional to 317,605.16, 438,316.38 and 209,990.16

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Solution

The fourth proportional to 317,605.16, 438,316.38 and 209,990.16 is: 289,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,605.16 : 438,316.38 = 209,990.16 : x
  2. Step 2: Convert to fraction form
    317,605.16/438,316.38 = 209,990.16/x
  3. Step 3: Cross multiply
    317,605.16x = 438,316.38 × 209,990.16
  4. Step 4: Simplify right side
    317,605.16x = 92,042,126,766.82
  5. Step 5: Solve for x
    x = 92,042,126,766.82/317,605.16
  6. Step 6: Final answer
    x = 289,800.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.