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Finding the Fourth Proportional to 313,980.13, 433,311.47 and 185,004.55

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Solution

The fourth proportional to 313,980.13, 433,311.47 and 185,004.55 is: 255,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,980.13 : 433,311.47 = 185,004.55 : x
  2. Step 2: Convert to fraction form
    313,980.13/433,311.47 = 185,004.55/x
  3. Step 3: Cross multiply
    313,980.13x = 433,311.47 × 185,004.55
  4. Step 4: Simplify right side
    313,980.13x = 80,164,593,517.19
  5. Step 5: Solve for x
    x = 80,164,593,517.19/313,980.13
  6. Step 6: Final answer
    x = 255,317.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.