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Finding the Fourth Proportional to 365,704.79, 548,359.92 and 165,916.16

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Solution

The fourth proportional to 365,704.79, 548,359.92 and 165,916.16 is: 248,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,704.79 : 548,359.92 = 165,916.16 : x
  2. Step 2: Convert to fraction form
    365,704.79/548,359.92 = 165,916.16/x
  3. Step 3: Cross multiply
    365,704.79x = 548,359.92 × 165,916.16
  4. Step 4: Simplify right side
    365,704.79x = 90,981,769,482.51
  5. Step 5: Solve for x
    x = 90,981,769,482.51/365,704.79
  6. Step 6: Final answer
    x = 248,784.74

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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.