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Finding the Fourth Proportional to 455,306.82, 683,034.30 and 171,019.50

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Solution

The fourth proportional to 455,306.82, 683,034.30 and 171,019.50 is: 256,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,306.82 : 683,034.30 = 171,019.50 : x
  2. Step 2: Convert to fraction form
    455,306.82/683,034.30 = 171,019.50/x
  3. Step 3: Cross multiply
    455,306.82x = 683,034.30 × 171,019.50
  4. Step 4: Simplify right side
    455,306.82x = 116,812,184,468.85
  5. Step 5: Solve for x
    x = 116,812,184,468.85/455,306.82
  6. Step 6: Final answer
    x = 256,557.07

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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.