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Finding the Fourth Proportional to 364,467.62, 546,740.31 and 154,126.82

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Solution

The fourth proportional to 364,467.62, 546,740.31 and 154,126.82 is: 231,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,467.62 : 546,740.31 = 154,126.82 : x
  2. Step 2: Convert to fraction form
    364,467.62/546,740.31 = 154,126.82/x
  3. Step 3: Cross multiply
    364,467.62x = 546,740.31 × 154,126.82
  4. Step 4: Simplify right side
    364,467.62x = 84,267,347,290.94
  5. Step 5: Solve for x
    x = 84,267,347,290.94/364,467.62
  6. Step 6: Final answer
    x = 231,206.68

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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.