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Finding the Fourth Proportional to 416,160.79, 624,268.87 and 146,256.29

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Solution

The fourth proportional to 416,160.79, 624,268.87 and 146,256.29 is: 219,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,160.79 : 624,268.87 = 146,256.29 : x
  2. Step 2: Convert to fraction form
    416,160.79/624,268.87 = 146,256.29/x
  3. Step 3: Cross multiply
    416,160.79x = 624,268.87 × 146,256.29
  4. Step 4: Simplify right side
    416,160.79x = 91,303,247,328.02
  5. Step 5: Solve for x
    x = 91,303,247,328.02/416,160.79
  6. Step 6: Final answer
    x = 219,394.16

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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.