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Finding the Fourth Proportional to 306,706.43, 459,686.61 and 164,201.51

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Solution

The fourth proportional to 306,706.43, 459,686.61 and 164,201.51 is: 246,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706.43 : 459,686.61 = 164,201.51 : x
  2. Step 2: Convert to fraction form
    306,706.43/459,686.61 = 164,201.51/x
  3. Step 3: Cross multiply
    306,706.43x = 459,686.61 × 164,201.51
  4. Step 4: Simplify right side
    306,706.43x = 75,481,234,955.32
  5. Step 5: Solve for x
    x = 75,481,234,955.32/306,706.43
  6. Step 6: Final answer
    x = 246,102.55

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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.