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Finding the Fourth Proportional to 306,504.30, 459,756.45 and 164,786.70

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Solution

The fourth proportional to 306,504.30, 459,756.45 and 164,786.70 is: 247,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,504.30 : 459,756.45 = 164,786.70 : x
  2. Step 2: Convert to fraction form
    306,504.30/459,756.45 = 164,786.70/x
  3. Step 3: Cross multiply
    306,504.30x = 459,756.45 × 164,786.70
  4. Step 4: Simplify right side
    306,504.30x = 75,761,748,199.22
  5. Step 5: Solve for x
    x = 75,761,748,199.22/306,504.30
  6. Step 6: Final answer
    x = 247,180.05

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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.