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Finding the Fourth Proportional to 455,760.30, 683,640.45 and 156,200.70

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Solution

The fourth proportional to 455,760.30, 683,640.45 and 156,200.70 is: 234,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,760.30 : 683,640.45 = 156,200.70 : x
  2. Step 2: Convert to fraction form
    455,760.30/683,640.45 = 156,200.70/x
  3. Step 3: Cross multiply
    455,760.30x = 683,640.45 × 156,200.70
  4. Step 4: Simplify right side
    455,760.30x = 106,785,116,838.32
  5. Step 5: Solve for x
    x = 106,785,116,838.32/455,760.30
  6. Step 6: Final answer
    x = 234,301.05

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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.