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Finding the Fourth Proportional to 323,470.53, 446,391.16 and 187,585.16

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Solution

The fourth proportional to 323,470.53, 446,391.16 and 187,585.16 is: 258,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,470.53 : 446,391.16 = 187,585.16 : x
  2. Step 2: Convert to fraction form
    323,470.53/446,391.16 = 187,585.16/x
  3. Step 3: Cross multiply
    323,470.53x = 446,391.16 × 187,585.16
  4. Step 4: Simplify right side
    323,470.53x = 83,736,354,470.27
  5. Step 5: Solve for x
    x = 83,736,354,470.27/323,470.53
  6. Step 6: Final answer
    x = 258,868.57

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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.