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Finding the Fourth Proportional to 343,757.64, 474,381.95 and 190,797.15

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Solution

The fourth proportional to 343,757.64, 474,381.95 and 190,797.15 is: 263,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,757.64 : 474,381.95 = 190,797.15 : x
  2. Step 2: Convert to fraction form
    343,757.64/474,381.95 = 190,797.15/x
  3. Step 3: Cross multiply
    343,757.64x = 474,381.95 × 190,797.15
  4. Step 4: Simplify right side
    343,757.64x = 90,510,723,117.46
  5. Step 5: Solve for x
    x = 90,510,723,117.46/343,757.64
  6. Step 6: Final answer
    x = 263,298.07

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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.