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Finding the Fourth Proportional to 346,494, 519,741 and 83,838

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Solution

The fourth proportional to 346,494, 519,741 and 83,838 is: 125,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,494 : 519,741 = 83,838 : x
  2. Step 2: Convert to fraction form
    346,494/519,741 = 83,838/x
  3. Step 3: Cross multiply
    346,494x = 519,741 × 83,838
  4. Step 4: Simplify right side
    346,494x = 43,574,045,958
  5. Step 5: Solve for x
    x = 43,574,045,958/346,494
  6. Step 6: Final answer
    x = 125,757

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.