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Finding the Fourth Proportional to 382,897.74, 574,540.35 and 158,419.26

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Solution

The fourth proportional to 382,897.74, 574,540.35 and 158,419.26 is: 237,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,897.74 : 574,540.35 = 158,419.26 : x
  2. Step 2: Convert to fraction form
    382,897.74/574,540.35 = 158,419.26/x
  3. Step 3: Cross multiply
    382,897.74x = 574,540.35 × 158,419.26
  4. Step 4: Simplify right side
    382,897.74x = 91,018,257,087.14
  5. Step 5: Solve for x
    x = 91,018,257,087.14/382,897.74
  6. Step 6: Final answer
    x = 237,709.05

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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.