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Finding the Fourth Proportional to 342,653.56, 513,684.72 and 164,916.04

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Solution

The fourth proportional to 342,653.56, 513,684.72 and 164,916.04 is: 247,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,653.56 : 513,684.72 = 164,916.04 : x
  2. Step 2: Convert to fraction form
    342,653.56/513,684.72 = 164,916.04/x
  3. Step 3: Cross multiply
    342,653.56x = 513,684.72 × 164,916.04
  4. Step 4: Simplify right side
    342,653.56x = 84,714,849,830.91
  5. Step 5: Solve for x
    x = 84,714,849,830.91/342,653.56
  6. Step 6: Final answer
    x = 247,231.78

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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.