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Finding the Fourth Proportional to 313,510.80, 470,025.09 and 155,616.78

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Solution

The fourth proportional to 313,510.80, 470,025.09 and 155,616.78 is: 233,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,510.80 : 470,025.09 = 155,616.78 : x
  2. Step 2: Convert to fraction form
    313,510.80/470,025.09 = 155,616.78/x
  3. Step 3: Cross multiply
    313,510.80x = 470,025.09 × 155,616.78
  4. Step 4: Simplify right side
    313,510.80x = 73,143,791,025.01
  5. Step 5: Solve for x
    x = 73,143,791,025.01/313,510.80
  6. Step 6: Final answer
    x = 233,305.49

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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.