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Finding the Fourth Proportional to 686,876.38, 947,875.28 and 380,903.38

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Solution

The fourth proportional to 686,876.38, 947,875.28 and 380,903.38 is: 525,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,876.38 : 947,875.28 = 380,903.38 : x
  2. Step 2: Convert to fraction form
    686,876.38/947,875.28 = 380,903.38/x
  3. Step 3: Cross multiply
    686,876.38x = 947,875.28 × 380,903.38
  4. Step 4: Simplify right side
    686,876.38x = 361,048,893,696.24
  5. Step 5: Solve for x
    x = 361,048,893,696.24/686,876.38
  6. Step 6: Final answer
    x = 525,638.83

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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.