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Finding the Fourth Proportional to 653,372.34, 980,197.02 and 232,647

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Solution

The fourth proportional to 653,372.34, 980,197.02 and 232,647 is: 349,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,372.34 : 980,197.02 = 232,647 : x
  2. Step 2: Convert to fraction form
    653,372.34/980,197.02 = 232,647/x
  3. Step 3: Cross multiply
    653,372.34x = 980,197.02 × 232,647
  4. Step 4: Simplify right side
    653,372.34x = 228,039,896,111.94
  5. Step 5: Solve for x
    x = 228,039,896,111.94/653,372.34
  6. Step 6: Final answer
    x = 349,019.82

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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.