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Finding the Fourth Proportional to 209,315.80, 293,567 and 209,315.80

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Solution

The fourth proportional to 209,315.80, 293,567 and 209,315.80 is: 293,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,315.80 : 293,567 = 209,315.80 : x
  2. Step 2: Convert to fraction form
    209,315.80/293,567 = 209,315.80/x
  3. Step 3: Cross multiply
    209,315.80x = 293,567 × 209,315.80
  4. Step 4: Simplify right side
    209,315.80x = 61,448,211,458.60
  5. Step 5: Solve for x
    x = 61,448,211,458.60/209,315.80
  6. Step 6: Final answer
    x = 293,567

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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.