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Finding the Fourth Proportional to 465,523.34, 698,284.08 and 128,563.13

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Solution

The fourth proportional to 465,523.34, 698,284.08 and 128,563.13 is: 192,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,523.34 : 698,284.08 = 128,563.13 : x
  2. Step 2: Convert to fraction form
    465,523.34/698,284.08 = 128,563.13/x
  3. Step 3: Cross multiply
    465,523.34x = 698,284.08 × 128,563.13
  4. Step 4: Simplify right side
    465,523.34x = 89,773,583,462.55
  5. Step 5: Solve for x
    x = 89,773,583,462.55/465,523.34
  6. Step 6: Final answer
    x = 192,844.43

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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.