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Finding the Fourth Proportional to 455,768.64, 683,521.20 and 175,219.20

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Solution

The fourth proportional to 455,768.64, 683,521.20 and 175,219.20 is: 262,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,768.64 : 683,521.20 = 175,219.20 : x
  2. Step 2: Convert to fraction form
    455,768.64/683,521.20 = 175,219.20/x
  3. Step 3: Cross multiply
    455,768.64x = 683,521.20 × 175,219.20
  4. Step 4: Simplify right side
    455,768.64x = 119,766,037,847.04
  5. Step 5: Solve for x
    x = 119,766,037,847.04/455,768.64
  6. Step 6: Final answer
    x = 262,778.15

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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.