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Finding the Fourth Proportional to 209,287.80, 293,527.80 and 209,287.80

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Solution

The fourth proportional to 209,287.80, 293,527.80 and 209,287.80 is: 293,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.80 : 293,527.80 = 209,287.80 : x
  2. Step 2: Convert to fraction form
    209,287.80/293,527.80 = 209,287.80/x
  3. Step 3: Cross multiply
    209,287.80x = 293,527.80 × 209,287.80
  4. Step 4: Simplify right side
    209,287.80x = 61,431,787,500.84
  5. Step 5: Solve for x
    x = 61,431,787,500.84/209,287.80
  6. Step 6: Final answer
    x = 293,527.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.