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Finding the Fourth Proportional to 686,935.89, 947,978.10 and 381,042.32

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Solution

The fourth proportional to 686,935.89, 947,978.10 and 381,042.32 is: 525,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,935.89 : 947,978.10 = 381,042.32 : x
  2. Step 2: Convert to fraction form
    686,935.89/947,978.10 = 381,042.32/x
  3. Step 3: Cross multiply
    686,935.89x = 947,978.10 × 381,042.32
  4. Step 4: Simplify right side
    686,935.89x = 361,219,769,793.30
  5. Step 5: Solve for x
    x = 361,219,769,793.30/686,935.89
  6. Step 6: Final answer
    x = 525,842.04

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1.5x scale

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.