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Finding the Fourth Proportional to 313,444.95, 470,247 and 145,086.72

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Solution

The fourth proportional to 313,444.95, 470,247 and 145,086.72 is: 217,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,444.95 : 470,247 = 145,086.72 : x
  2. Step 2: Convert to fraction form
    313,444.95/470,247 = 145,086.72/x
  3. Step 3: Cross multiply
    313,444.95x = 470,247 × 145,086.72
  4. Step 4: Simplify right side
    313,444.95x = 68,226,594,819.84
  5. Step 5: Solve for x
    x = 68,226,594,819.84/313,444.95
  6. Step 6: Final answer
    x = 217,666.91

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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.