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Finding the Fourth Proportional to 364,088.34, 546,375.42 and 127,431.03

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Solution

The fourth proportional to 364,088.34, 546,375.42 and 127,431.03 is: 191,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,088.34 : 546,375.42 = 127,431.03 : x
  2. Step 2: Convert to fraction form
    364,088.34/546,375.42 = 127,431.03/x
  3. Step 3: Cross multiply
    364,088.34x = 546,375.42 × 127,431.03
  4. Step 4: Simplify right side
    364,088.34x = 69,625,182,537.28
  5. Step 5: Solve for x
    x = 69,625,182,537.28/364,088.34
  6. Step 6: Final answer
    x = 191,231.56

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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.