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Finding the Fourth Proportional to 686,838.56, 947,893.95 and 381,013.54

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Solution

The fourth proportional to 686,838.56, 947,893.95 and 381,013.54 is: 525,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,838.56 : 947,893.95 = 381,013.54 : x
  2. Step 2: Convert to fraction form
    686,838.56/947,893.95 = 381,013.54/x
  3. Step 3: Cross multiply
    686,838.56x = 947,893.95 × 381,013.54
  4. Step 4: Simplify right side
    686,838.56x = 361,160,429,434.08
  5. Step 5: Solve for x
    x = 361,160,429,434.08/686,838.56
  6. Step 6: Final answer
    x = 525,830.16

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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.