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Finding the Fourth Proportional to 313,872.30, 470,808.46 and 208,349.10

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Solution

The fourth proportional to 313,872.30, 470,808.46 and 208,349.10 is: 312,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,872.30 : 470,808.46 = 208,349.10 : x
  2. Step 2: Convert to fraction form
    313,872.30/470,808.46 = 208,349.10/x
  3. Step 3: Cross multiply
    313,872.30x = 470,808.46 × 208,349.10
  4. Step 4: Simplify right side
    313,872.30x = 98,092,518,913.39
  5. Step 5: Solve for x
    x = 98,092,518,913.39/313,872.30
  6. Step 6: Final answer
    x = 312,523.66

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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.