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Finding the Fourth Proportional to 280,521.36, 418,311.36 and 277,994.16

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Solution

The fourth proportional to 280,521.36, 418,311.36 and 277,994.16 is: 414,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,521.36 : 418,311.36 = 277,994.16 : x
  2. Step 2: Convert to fraction form
    280,521.36/418,311.36 = 277,994.16/x
  3. Step 3: Cross multiply
    280,521.36x = 418,311.36 × 277,994.16
  4. Step 4: Simplify right side
    280,521.36x = 116,288,115,141.66
  5. Step 5: Solve for x
    x = 116,288,115,141.66/280,521.36
  6. Step 6: Final answer
    x = 414,542.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.