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Finding the Fourth Proportional to 433,598.16, 650,458.53 and 134,104.98

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Solution

The fourth proportional to 433,598.16, 650,458.53 and 134,104.98 is: 201,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,598.16 : 650,458.53 = 134,104.98 : x
  2. Step 2: Convert to fraction form
    433,598.16/650,458.53 = 134,104.98/x
  3. Step 3: Cross multiply
    433,598.16x = 650,458.53 × 134,104.98
  4. Step 4: Simplify right side
    433,598.16x = 87,229,728,156.48
  5. Step 5: Solve for x
    x = 87,229,728,156.48/433,598.16
  6. Step 6: Final answer
    x = 201,176.43

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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.