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Finding the Fourth Proportional to 461,607, 692,410.50 and 129,183

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Solution

The fourth proportional to 461,607, 692,410.50 and 129,183 is: 193,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,607 : 692,410.50 = 129,183 : x
  2. Step 2: Convert to fraction form
    461,607/692,410.50 = 129,183/x
  3. Step 3: Cross multiply
    461,607x = 692,410.50 × 129,183
  4. Step 4: Simplify right side
    461,607x = 89,447,665,621.50
  5. Step 5: Solve for x
    x = 89,447,665,621.50/461,607
  6. Step 6: Final answer
    x = 193,774.50

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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.