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Finding the Fourth Proportional to 274,823.40, 412,235.10 and 97,530.60

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Solution

The fourth proportional to 274,823.40, 412,235.10 and 97,530.60 is: 146,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,823.40 : 412,235.10 = 97,530.60 : x
  2. Step 2: Convert to fraction form
    274,823.40/412,235.10 = 97,530.60/x
  3. Step 3: Cross multiply
    274,823.40x = 412,235.10 × 97,530.60
  4. Step 4: Simplify right side
    274,823.40x = 40,205,536,644.06
  5. Step 5: Solve for x
    x = 40,205,536,644.06/274,823.40
  6. Step 6: Final answer
    x = 146,295.90

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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.