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Finding the Fourth Proportional to 274,844.29, 412,189.89 and 97,303.63

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Solution

The fourth proportional to 274,844.29, 412,189.89 and 97,303.63 is: 145,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,844.29 : 412,189.89 = 97,303.63 : x
  2. Step 2: Convert to fraction form
    274,844.29/412,189.89 = 97,303.63/x
  3. Step 3: Cross multiply
    274,844.29x = 412,189.89 × 97,303.63
  4. Step 4: Simplify right side
    274,844.29x = 40,107,572,546.30
  5. Step 5: Solve for x
    x = 40,107,572,546.30/274,844.29
  6. Step 6: Final answer
    x = 145,928.35

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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.