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Finding the Fourth Proportional to 686,708.08, 947,668.50 and 380,797.38

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Solution

The fourth proportional to 686,708.08, 947,668.50 and 380,797.38 is: 525,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,708.08 : 947,668.50 = 380,797.38 : x
  2. Step 2: Convert to fraction form
    686,708.08/947,668.50 = 380,797.38/x
  3. Step 3: Cross multiply
    686,708.08x = 947,668.50 × 380,797.38
  4. Step 4: Simplify right side
    686,708.08x = 360,869,681,908.53
  5. Step 5: Solve for x
    x = 360,869,681,908.53/686,708.08
  6. Step 6: Final answer
    x = 525,506.68

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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.