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Finding the Fourth Proportional to 299,442.48, 413,205.80 and 170,346.60

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Solution

The fourth proportional to 299,442.48, 413,205.80 and 170,346.60 is: 235,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,442.48 : 413,205.80 = 170,346.60 : x
  2. Step 2: Convert to fraction form
    299,442.48/413,205.80 = 170,346.60/x
  3. Step 3: Cross multiply
    299,442.48x = 413,205.80 × 170,346.60
  4. Step 4: Simplify right side
    299,442.48x = 70,388,203,130.28
  5. Step 5: Solve for x
    x = 70,388,203,130.28/299,442.48
  6. Step 6: Final answer
    x = 235,064.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.