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Finding the Fourth Proportional to 313,848.30, 470,772.45 and 208,325.10

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Solution

The fourth proportional to 313,848.30, 470,772.45 and 208,325.10 is: 312,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,848.30 : 470,772.45 = 208,325.10 : x
  2. Step 2: Convert to fraction form
    313,848.30/470,772.45 = 208,325.10/x
  3. Step 3: Cross multiply
    313,848.30x = 470,772.45 × 208,325.10
  4. Step 4: Simplify right side
    313,848.30x = 98,073,717,723.50
  5. Step 5: Solve for x
    x = 98,073,717,723.50/313,848.30
  6. Step 6: Final answer
    x = 312,487.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.