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Finding the Fourth Proportional to 686,386.50, 947,213.40 and 418,114.50

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Solution

The fourth proportional to 686,386.50, 947,213.40 and 418,114.50 is: 576,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,386.50 : 947,213.40 = 418,114.50 : x
  2. Step 2: Convert to fraction form
    686,386.50/947,213.40 = 418,114.50/x
  3. Step 3: Cross multiply
    686,386.50x = 947,213.40 × 418,114.50
  4. Step 4: Simplify right side
    686,386.50x = 396,043,657,134.30
  5. Step 5: Solve for x
    x = 396,043,657,134.30/686,386.50
  6. Step 6: Final answer
    x = 576,998.03

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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.