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Finding the Fourth Proportional to 313,522.56, 470,184.48 and 103,111.56

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Solution

The fourth proportional to 313,522.56, 470,184.48 and 103,111.56 is: 154,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,522.56 : 470,184.48 = 103,111.56 : x
  2. Step 2: Convert to fraction form
    313,522.56/470,184.48 = 103,111.56/x
  3. Step 3: Cross multiply
    313,522.56x = 470,184.48 × 103,111.56
  4. Step 4: Simplify right side
    313,522.56x = 48,481,455,220.59
  5. Step 5: Solve for x
    x = 48,481,455,220.59/313,522.56
  6. Step 6: Final answer
    x = 154,634.66

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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.