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Finding the Fourth Proportional to 345,760.64, 477,187.84 and 200,598.40

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Solution

The fourth proportional to 345,760.64, 477,187.84 and 200,598.40 is: 276,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,760.64 : 477,187.84 = 200,598.40 : x
  2. Step 2: Convert to fraction form
    345,760.64/477,187.84 = 200,598.40/x
  3. Step 3: Cross multiply
    345,760.64x = 477,187.84 × 200,598.40
  4. Step 4: Simplify right side
    345,760.64x = 95,723,117,203.46
  5. Step 5: Solve for x
    x = 95,723,117,203.46/345,760.64
  6. Step 6: Final answer
    x = 276,847.93

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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.