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Finding the Fourth Proportional to 283,240.80, 423,986.40 and 164,559.60

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Solution

The fourth proportional to 283,240.80, 423,986.40 and 164,559.60 is: 246,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,240.80 : 423,986.40 = 164,559.60 : x
  2. Step 2: Convert to fraction form
    283,240.80/423,986.40 = 164,559.60/x
  3. Step 3: Cross multiply
    283,240.80x = 423,986.40 × 164,559.60
  4. Step 4: Simplify right side
    283,240.80x = 69,771,032,389.44
  5. Step 5: Solve for x
    x = 69,771,032,389.44/283,240.80
  6. Step 6: Final answer
    x = 246,331.15

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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.