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Finding the Fourth Proportional to 616,451.46, 850,696.38 and 340,808.14

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Solution

The fourth proportional to 616,451.46, 850,696.38 and 340,808.14 is: 470,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,451.46 : 850,696.38 = 340,808.14 : x
  2. Step 2: Convert to fraction form
    616,451.46/850,696.38 = 340,808.14/x
  3. Step 3: Cross multiply
    616,451.46x = 850,696.38 × 340,808.14
  4. Step 4: Simplify right side
    616,451.46x = 289,924,250,972.53
  5. Step 5: Solve for x
    x = 289,924,250,972.53/616,451.46
  6. Step 6: Final answer
    x = 470,311.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.