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Finding the Fourth Proportional to 686,739.42, 947,711.91 and 380,828.70

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Solution

The fourth proportional to 686,739.42, 947,711.91 and 380,828.70 is: 525,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,739.42 : 947,711.91 = 380,828.70 : x
  2. Step 2: Convert to fraction form
    686,739.42/947,711.91 = 380,828.70/x
  3. Step 3: Cross multiply
    686,739.42x = 947,711.91 × 380,828.70
  4. Step 4: Simplify right side
    686,739.42x = 360,915,894,659.82
  5. Step 5: Solve for x
    x = 360,915,894,659.82/686,739.42
  6. Step 6: Final answer
    x = 525,549.99

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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.