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Finding the Fourth Proportional to 416,585.09, 624,899.48 and 132,298.31

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Solution

The fourth proportional to 416,585.09, 624,899.48 and 132,298.31 is: 198,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,585.09 : 624,899.48 = 132,298.31 : x
  2. Step 2: Convert to fraction form
    416,585.09/624,899.48 = 132,298.31/x
  3. Step 3: Cross multiply
    416,585.09x = 624,899.48 × 132,298.31
  4. Step 4: Simplify right side
    416,585.09x = 82,673,146,024.64
  5. Step 5: Solve for x
    x = 82,673,146,024.64/416,585.09
  6. Step 6: Final answer
    x = 198,454.40

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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.