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Finding the Fourth Proportional to 538,823.40, 809,109.90 and 362,113.80

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Solution

The fourth proportional to 538,823.40, 809,109.90 and 362,113.80 is: 543,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,823.40 : 809,109.90 = 362,113.80 : x
  2. Step 2: Convert to fraction form
    538,823.40/809,109.90 = 362,113.80/x
  3. Step 3: Cross multiply
    538,823.40x = 809,109.90 × 362,113.80
  4. Step 4: Simplify right side
    538,823.40x = 292,989,860,506.62
  5. Step 5: Solve for x
    x = 292,989,860,506.62/538,823.40
  6. Step 6: Final answer
    x = 543,758.61

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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.