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Finding the Fourth Proportional to 686,184.88, 946,937.36 and 380,266.30

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Solution

The fourth proportional to 686,184.88, 946,937.36 and 380,266.30 is: 524,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,184.88 : 946,937.36 = 380,266.30 : x
  2. Step 2: Convert to fraction form
    686,184.88/946,937.36 = 380,266.30/x
  3. Step 3: Cross multiply
    686,184.88x = 946,937.36 × 380,266.30
  4. Step 4: Simplify right side
    686,184.88x = 360,088,366,218.97
  5. Step 5: Solve for x
    x = 360,088,366,218.97/686,184.88
  6. Step 6: Final answer
    x = 524,768.73

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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.