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Finding the Fourth Proportional to 284,437.40, 426,540.90 and 97,352.60

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Solution

The fourth proportional to 284,437.40, 426,540.90 and 97,352.60 is: 145,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,437.40 : 426,540.90 = 97,352.60 : x
  2. Step 2: Convert to fraction form
    284,437.40/426,540.90 = 97,352.60/x
  3. Step 3: Cross multiply
    284,437.40x = 426,540.90 × 97,352.60
  4. Step 4: Simplify right side
    284,437.40x = 41,524,865,621.34
  5. Step 5: Solve for x
    x = 41,524,865,621.34/284,437.40
  6. Step 6: Final answer
    x = 145,989.47

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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.