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Finding the Fourth Proportional to 270,583.89, 405,487.53 and 152,005.65

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Solution

The fourth proportional to 270,583.89, 405,487.53 and 152,005.65 is: 227,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,583.89 : 405,487.53 = 152,005.65 : x
  2. Step 2: Convert to fraction form
    270,583.89/405,487.53 = 152,005.65/x
  3. Step 3: Cross multiply
    270,583.89x = 405,487.53 × 152,005.65
  4. Step 4: Simplify right side
    270,583.89x = 61,636,395,564.54
  5. Step 5: Solve for x
    x = 61,636,395,564.54/270,583.89
  6. Step 6: Final answer
    x = 227,790.34

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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.