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Finding the Fourth Proportional to 277,977.66, 416,967.10 and 100,484.40

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Solution

The fourth proportional to 277,977.66, 416,967.10 and 100,484.40 is: 150,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,977.66 : 416,967.10 = 100,484.40 : x
  2. Step 2: Convert to fraction form
    277,977.66/416,967.10 = 100,484.40/x
  3. Step 3: Cross multiply
    277,977.66x = 416,967.10 × 100,484.40
  4. Step 4: Simplify right side
    277,977.66x = 41,898,688,863.24
  5. Step 5: Solve for x
    x = 41,898,688,863.24/277,977.66
  6. Step 6: Final answer
    x = 150,726.82

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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.