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Finding the Fourth Proportional to 698,101.29, 963,323.01 and 392,161.05

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Solution

The fourth proportional to 698,101.29, 963,323.01 and 392,161.05 is: 541,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,101.29 : 963,323.01 = 392,161.05 : x
  2. Step 2: Convert to fraction form
    698,101.29/963,323.01 = 392,161.05/x
  3. Step 3: Cross multiply
    698,101.29x = 963,323.01 × 392,161.05
  4. Step 4: Simplify right side
    698,101.29x = 377,777,763,090.76
  5. Step 5: Solve for x
    x = 377,777,763,090.76/698,101.29
  6. Step 6: Final answer
    x = 541,150.36

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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.