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Finding the Fourth Proportional to 523,468.80, 785,203.20 and 149,443.20

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Solution

The fourth proportional to 523,468.80, 785,203.20 and 149,443.20 is: 224,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,468.80 : 785,203.20 = 149,443.20 : x
  2. Step 2: Convert to fraction form
    523,468.80/785,203.20 = 149,443.20/x
  3. Step 3: Cross multiply
    523,468.80x = 785,203.20 × 149,443.20
  4. Step 4: Simplify right side
    523,468.80x = 117,343,278,858.24
  5. Step 5: Solve for x
    x = 117,343,278,858.24/523,468.80
  6. Step 6: Final answer
    x = 224,164.80

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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.