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Finding the Fourth Proportional to 538,823.90, 809,110.65 and 362,114.30

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Solution

The fourth proportional to 538,823.90, 809,110.65 and 362,114.30 is: 543,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,823.90 : 809,110.65 = 362,114.30 : x
  2. Step 2: Convert to fraction form
    538,823.90/809,110.65 = 362,114.30/x
  3. Step 3: Cross multiply
    538,823.90x = 809,110.65 × 362,114.30
  4. Step 4: Simplify right side
    538,823.90x = 292,990,536,647.30
  5. Step 5: Solve for x
    x = 292,990,536,647.30/538,823.90
  6. Step 6: Final answer
    x = 543,759.36

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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.