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Finding the Fourth Proportional to 270,580.10, 405,481.95 and 152,001.97

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Solution

The fourth proportional to 270,580.10, 405,481.95 and 152,001.97 is: 227,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,580.10 : 405,481.95 = 152,001.97 : x
  2. Step 2: Convert to fraction form
    270,580.10/405,481.95 = 152,001.97/x
  3. Step 3: Cross multiply
    270,580.10x = 405,481.95 × 152,001.97
  4. Step 4: Simplify right side
    270,580.10x = 61,634,054,185.74
  5. Step 5: Solve for x
    x = 61,634,054,185.74/270,580.10
  6. Step 6: Final answer
    x = 227,784.88

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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.