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Finding the Fourth Proportional to 735,372.50, 1,014,908.85 and 413,082.50

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Solution

The fourth proportional to 735,372.50, 1,014,908.85 and 413,082.50 is: 570,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,372.50 : 1,014,908.85 = 413,082.50 : x
  2. Step 2: Convert to fraction form
    735,372.50/1,014,908.85 = 413,082.50/x
  3. Step 3: Cross multiply
    735,372.50x = 1,014,908.85 × 413,082.50
  4. Step 4: Simplify right side
    735,372.50x = 419,241,079,955.58
  5. Step 5: Solve for x
    x = 419,241,079,955.58/735,372.50
  6. Step 6: Final answer
    x = 570,107.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.