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Finding the Fourth Proportional to 536,538.10, 804,915.15 and 157,458.10

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Solution

The fourth proportional to 536,538.10, 804,915.15 and 157,458.10 is: 236,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,538.10 : 804,915.15 = 157,458.10 : x
  2. Step 2: Convert to fraction form
    536,538.10/804,915.15 = 157,458.10/x
  3. Step 3: Cross multiply
    536,538.10x = 804,915.15 × 157,458.10
  4. Step 4: Simplify right side
    536,538.10x = 126,740,410,180.22
  5. Step 5: Solve for x
    x = 126,740,410,180.22/536,538.10
  6. Step 6: Final answer
    x = 236,218.84

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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.