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Finding the Fourth Proportional to 275,216.48, 412,821.12 and 97,625.60

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Solution

The fourth proportional to 275,216.48, 412,821.12 and 97,625.60 is: 146,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,216.48 : 412,821.12 = 97,625.60 : x
  2. Step 2: Convert to fraction form
    275,216.48/412,821.12 = 97,625.60/x
  3. Step 3: Cross multiply
    275,216.48x = 412,821.12 × 97,625.60
  4. Step 4: Simplify right side
    275,216.48x = 40,301,909,532.67
  5. Step 5: Solve for x
    x = 40,301,909,532.67/275,216.48
  6. Step 6: Final answer
    x = 146,437.12

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1.5x scale

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.