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Finding the Fourth Proportional to 686,718, 947,670.84 and 384,912

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Solution

The fourth proportional to 686,718, 947,670.84 and 384,912 is: 531,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,718 : 947,670.84 = 384,912 : x
  2. Step 2: Convert to fraction form
    686,718/947,670.84 = 384,912/x
  3. Step 3: Cross multiply
    686,718x = 947,670.84 × 384,912
  4. Step 4: Simplify right side
    686,718x = 364,769,878,366.08
  5. Step 5: Solve for x
    x = 364,769,878,366.08/686,718
  6. Step 6: Final answer
    x = 531,178.56

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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.