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Finding the Fourth Proportional to 334,062, 501,122.16 and 84,744

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Solution

The fourth proportional to 334,062, 501,122.16 and 84,744 is: 127,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,062 : 501,122.16 = 84,744 : x
  2. Step 2: Convert to fraction form
    334,062/501,122.16 = 84,744/x
  3. Step 3: Cross multiply
    334,062x = 501,122.16 × 84,744
  4. Step 4: Simplify right side
    334,062x = 42,467,096,327.04
  5. Step 5: Solve for x
    x = 42,467,096,327.04/334,062
  6. Step 6: Final answer
    x = 127,123.40

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