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Finding the Fourth Proportional to 562,189.41, 775,821.24 and 307,540.80

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Solution

The fourth proportional to 562,189.41, 775,821.24 and 307,540.80 is: 424,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,189.41 : 775,821.24 = 307,540.80 : x
  2. Step 2: Convert to fraction form
    562,189.41/775,821.24 = 307,540.80/x
  3. Step 3: Cross multiply
    562,189.41x = 775,821.24 × 307,540.80
  4. Step 4: Simplify right side
    562,189.41x = 238,596,684,806.59
  5. Step 5: Solve for x
    x = 238,596,684,806.59/562,189.41
  6. Step 6: Final answer
    x = 424,406.22

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1.5x scale

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.