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Finding the Fourth Proportional to 301,010.36, 415,389.54 and 165,045.48

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Solution

The fourth proportional to 301,010.36, 415,389.54 and 165,045.48 is: 227,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,010.36 : 415,389.54 = 165,045.48 : x
  2. Step 2: Convert to fraction form
    301,010.36/415,389.54 = 165,045.48/x
  3. Step 3: Cross multiply
    301,010.36x = 415,389.54 × 165,045.48
  4. Step 4: Simplify right side
    301,010.36x = 68,558,166,016.28
  5. Step 5: Solve for x
    x = 68,558,166,016.28/301,010.36
  6. Step 6: Final answer
    x = 227,760.16

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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.