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Finding the Fourth Proportional to 476,590.40, 713,796.48 and 227,447.36

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Solution

The fourth proportional to 476,590.40, 713,796.48 and 227,447.36 is: 340,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,590.40 : 713,796.48 = 227,447.36 : x
  2. Step 2: Convert to fraction form
    476,590.40/713,796.48 = 227,447.36/x
  3. Step 3: Cross multiply
    476,590.40x = 713,796.48 × 227,447.36
  4. Step 4: Simplify right side
    476,590.40x = 162,351,124,953.29
  5. Step 5: Solve for x
    x = 162,351,124,953.29/476,590.40
  6. Step 6: Final answer
    x = 340,651.27

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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.