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Finding the Fourth Proportional to 686,687.76, 947,631.15 and 380,785.69

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Solution

The fourth proportional to 686,687.76, 947,631.15 and 380,785.69 is: 525,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,687.76 : 947,631.15 = 380,785.69 : x
  2. Step 2: Convert to fraction form
    686,687.76/947,631.15 = 380,785.69/x
  3. Step 3: Cross multiply
    686,687.76x = 947,631.15 × 380,785.69
  4. Step 4: Simplify right side
    686,687.76x = 360,844,382,502.78
  5. Step 5: Solve for x
    x = 360,844,382,502.78/686,687.76
  6. Step 6: Final answer
    x = 525,485.39

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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.