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Finding the Fourth Proportional to 686,839.65, 947,896.95 and 381,014.58

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Solution

The fourth proportional to 686,839.65, 947,896.95 and 381,014.58 is: 525,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,839.65 : 947,896.95 = 381,014.58 : x
  2. Step 2: Convert to fraction form
    686,839.65/947,896.95 = 381,014.58/x
  3. Step 3: Cross multiply
    686,839.65x = 947,896.95 × 381,014.58
  4. Step 4: Simplify right side
    686,839.65x = 361,162,561,127.74
  5. Step 5: Solve for x
    x = 361,162,561,127.74/686,839.65
  6. Step 6: Final answer
    x = 525,832.43

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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.