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Finding the Fourth Proportional to 301,135.48, 415,566.93 and 166,999.48

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Solution

The fourth proportional to 301,135.48, 415,566.93 and 166,999.48 is: 230,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.48 : 415,566.93 = 166,999.48 : x
  2. Step 2: Convert to fraction form
    301,135.48/415,566.93 = 166,999.48/x
  3. Step 3: Cross multiply
    301,135.48x = 415,566.93 × 166,999.48
  4. Step 4: Simplify right side
    301,135.48x = 69,399,461,215.20
  5. Step 5: Solve for x
    x = 69,399,461,215.20/301,135.48
  6. Step 6: Final answer
    x = 230,459.26

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1.5x scale

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.