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Finding the Fourth Proportional to 280,842.30, 421,263.45 and 202,110.30

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Solution

The fourth proportional to 280,842.30, 421,263.45 and 202,110.30 is: 303,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,842.30 : 421,263.45 = 202,110.30 : x
  2. Step 2: Convert to fraction form
    280,842.30/421,263.45 = 202,110.30/x
  3. Step 3: Cross multiply
    280,842.30x = 421,263.45 × 202,110.30
  4. Step 4: Simplify right side
    280,842.30x = 85,141,682,258.54
  5. Step 5: Solve for x
    x = 85,141,682,258.54/280,842.30
  6. Step 6: Final answer
    x = 303,165.45

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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.