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Finding the Fourth Proportional to 277,993.32, 417,014.46 and 78,315.36

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Solution

The fourth proportional to 277,993.32, 417,014.46 and 78,315.36 is: 117,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,993.32 : 417,014.46 = 78,315.36 : x
  2. Step 2: Convert to fraction form
    277,993.32/417,014.46 = 78,315.36/x
  3. Step 3: Cross multiply
    277,993.32x = 417,014.46 × 78,315.36
  4. Step 4: Simplify right side
    277,993.32x = 32,658,637,560.11
  5. Step 5: Solve for x
    x = 32,658,637,560.11/277,993.32
  6. Step 6: Final answer
    x = 117,479.94

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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.