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Finding the Fourth Proportional to 686,544.38, 947,487.12 and 380,716.52

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Solution

The fourth proportional to 686,544.38, 947,487.12 and 380,716.52 is: 525,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,544.38 : 947,487.12 = 380,716.52 : x
  2. Step 2: Convert to fraction form
    686,544.38/947,487.12 = 380,716.52/x
  3. Step 3: Cross multiply
    686,544.38x = 947,487.12 × 380,716.52
  4. Step 4: Simplify right side
    686,544.38x = 360,723,999,071.22
  5. Step 5: Solve for x
    x = 360,723,999,071.22/686,544.38
  6. Step 6: Final answer
    x = 525,419.79

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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.