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Finding the Fourth Proportional to 686,838.21, 947,894.94 and 381,013.13

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Solution

The fourth proportional to 686,838.21, 947,894.94 and 381,013.13 is: 525,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,838.21 : 947,894.94 = 381,013.13 : x
  2. Step 2: Convert to fraction form
    686,838.21/947,894.94 = 381,013.13/x
  3. Step 3: Cross multiply
    686,838.21x = 947,894.94 × 381,013.13
  4. Step 4: Simplify right side
    686,838.21x = 361,160,413,261.09
  5. Step 5: Solve for x
    x = 361,160,413,261.09/686,838.21
  6. Step 6: Final answer
    x = 525,830.40

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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.