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Finding the Fourth Proportional to 313,859.06, 470,905.23 and 145,460.06

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Solution

The fourth proportional to 313,859.06, 470,905.23 and 145,460.06 is: 218,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,859.06 : 470,905.23 = 145,460.06 : x
  2. Step 2: Convert to fraction form
    313,859.06/470,905.23 = 145,460.06/x
  3. Step 3: Cross multiply
    313,859.06x = 470,905.23 × 145,460.06
  4. Step 4: Simplify right side
    313,859.06x = 68,497,903,010.11
  5. Step 5: Solve for x
    x = 68,497,903,010.11/313,859.06
  6. Step 6: Final answer
    x = 218,244.15

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1.5x scale

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.