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Finding the Fourth Proportional to 460,141.95, 690,327.41 and 365,728.35

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Solution

The fourth proportional to 460,141.95, 690,327.41 and 365,728.35 is: 548,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,141.95 : 690,327.41 = 365,728.35 : x
  2. Step 2: Convert to fraction form
    460,141.95/690,327.41 = 365,728.35/x
  3. Step 3: Cross multiply
    460,141.95x = 690,327.41 × 365,728.35
  4. Step 4: Simplify right side
    460,141.95x = 252,472,302,790.43
  5. Step 5: Solve for x
    x = 252,472,302,790.43/460,141.95
  6. Step 6: Final answer
    x = 548,683.52

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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.