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Finding the Fourth Proportional to 405,002.70, 607,212.45 and 227,564.10

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Solution

The fourth proportional to 405,002.70, 607,212.45 and 227,564.10 is: 341,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,002.70 : 607,212.45 = 227,564.10 : x
  2. Step 2: Convert to fraction form
    405,002.70/607,212.45 = 227,564.10/x
  3. Step 3: Cross multiply
    405,002.70x = 607,212.45 × 227,564.10
  4. Step 4: Simplify right side
    405,002.70x = 138,179,754,693.05
  5. Step 5: Solve for x
    x = 138,179,754,693.05/405,002.70
  6. Step 6: Final answer
    x = 341,182.30

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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.