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Finding the Fourth Proportional to 280,870.30, 421,305.45 and 202,138.30

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Solution

The fourth proportional to 280,870.30, 421,305.45 and 202,138.30 is: 303,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,870.30 : 421,305.45 = 202,138.30 : x
  2. Step 2: Convert to fraction form
    280,870.30/421,305.45 = 202,138.30/x
  3. Step 3: Cross multiply
    280,870.30x = 421,305.45 × 202,138.30
  4. Step 4: Simplify right side
    280,870.30x = 85,161,967,443.74
  5. Step 5: Solve for x
    x = 85,161,967,443.74/280,870.30
  6. Step 6: Final answer
    x = 303,207.45

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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.