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Finding the Fourth Proportional to 686,839.06, 947,894.66 and 381,014.05

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Solution

The fourth proportional to 686,839.06, 947,894.66 and 381,014.05 is: 525,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,839.06 : 947,894.66 = 381,014.05 : x
  2. Step 2: Convert to fraction form
    686,839.06/947,894.66 = 381,014.05/x
  3. Step 3: Cross multiply
    686,839.06x = 947,894.66 × 381,014.05
  4. Step 4: Simplify right side
    686,839.06x = 361,161,183,379.97
  5. Step 5: Solve for x
    x = 361,161,183,379.97/686,839.06
  6. Step 6: Final answer
    x = 525,830.87

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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.