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Finding the Fourth Proportional to 686,422.36, 947,269.20 and 380,502.04

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Solution

The fourth proportional to 686,422.36, 947,269.20 and 380,502.04 is: 525,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,422.36 : 947,269.20 = 380,502.04 : x
  2. Step 2: Convert to fraction form
    686,422.36/947,269.20 = 380,502.04/x
  3. Step 3: Cross multiply
    686,422.36x = 947,269.20 × 380,502.04
  4. Step 4: Simplify right side
    686,422.36x = 360,437,863,029.17
  5. Step 5: Solve for x
    x = 360,437,863,029.17/686,422.36
  6. Step 6: Final answer
    x = 525,096.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.