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Finding the Fourth Proportional to 563,367.34, 844,460.49 and 208,154.80

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Solution

The fourth proportional to 563,367.34, 844,460.49 and 208,154.80 is: 312,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,367.34 : 844,460.49 = 208,154.80 : x
  2. Step 2: Convert to fraction form
    563,367.34/844,460.49 = 208,154.80/x
  3. Step 3: Cross multiply
    563,367.34x = 844,460.49 × 208,154.80
  4. Step 4: Simplify right side
    563,367.34x = 175,778,504,403.85
  5. Step 5: Solve for x
    x = 175,778,504,403.85/563,367.34
  6. Step 6: Final answer
    x = 312,014.01

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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.