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Finding the Fourth Proportional to 476,580.30, 713,781.69 and 227,437.26

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Solution

The fourth proportional to 476,580.30, 713,781.69 and 227,437.26 is: 340,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,580.30 : 713,781.69 = 227,437.26 : x
  2. Step 2: Convert to fraction form
    476,580.30/713,781.69 = 227,437.26/x
  3. Step 3: Cross multiply
    476,580.30x = 713,781.69 × 227,437.26
  4. Step 4: Simplify right side
    476,580.30x = 162,340,551,811.77
  5. Step 5: Solve for x
    x = 162,340,551,811.77/476,580.30
  6. Step 6: Final answer
    x = 340,636.30

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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.