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Finding the Fourth Proportional to 313,993.20, 433,158.27 and 186,578.58

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Solution

The fourth proportional to 313,993.20, 433,158.27 and 186,578.58 is: 257,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,993.20 : 433,158.27 = 186,578.58 : x
  2. Step 2: Convert to fraction form
    313,993.20/433,158.27 = 186,578.58/x
  3. Step 3: Cross multiply
    313,993.20x = 433,158.27 × 186,578.58
  4. Step 4: Simplify right side
    313,993.20x = 80,818,054,931.86
  5. Step 5: Solve for x
    x = 80,818,054,931.86/313,993.20
  6. Step 6: Final answer
    x = 257,387.91

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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.