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Finding the Fourth Proportional to 277,453.32, 415,847.26 and 159,206.28

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Solution

The fourth proportional to 277,453.32, 415,847.26 and 159,206.28 is: 238,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,453.32 : 415,847.26 = 159,206.28 : x
  2. Step 2: Convert to fraction form
    277,453.32/415,847.26 = 159,206.28/x
  3. Step 3: Cross multiply
    277,453.32x = 415,847.26 × 159,206.28
  4. Step 4: Simplify right side
    277,453.32x = 66,205,495,312.79
  5. Step 5: Solve for x
    x = 66,205,495,312.79/277,453.32
  6. Step 6: Final answer
    x = 238,618.50

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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.