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Finding the Fourth Proportional to 333,471.40, 460,248.66 and 197,581.84

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Solution

The fourth proportional to 333,471.40, 460,248.66 and 197,581.84 is: 272,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,471.40 : 460,248.66 = 197,581.84 : x
  2. Step 2: Convert to fraction form
    333,471.40/460,248.66 = 197,581.84/x
  3. Step 3: Cross multiply
    333,471.40x = 460,248.66 × 197,581.84
  4. Step 4: Simplify right side
    333,471.40x = 90,936,777,100.33
  5. Step 5: Solve for x
    x = 90,936,777,100.33/333,471.40
  6. Step 6: Final answer
    x = 272,697.38

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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.