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Finding the Fourth Proportional to 470,732.52, 649,594.96 and 269,489.64

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Solution

The fourth proportional to 470,732.52, 649,594.96 and 269,489.64 is: 371,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,732.52 : 649,594.96 = 269,489.64 : x
  2. Step 2: Convert to fraction form
    470,732.52/649,594.96 = 269,489.64/x
  3. Step 3: Cross multiply
    470,732.52x = 649,594.96 × 269,489.64
  4. Step 4: Simplify right side
    470,732.52x = 175,059,111,916.21
  5. Step 5: Solve for x
    x = 175,059,111,916.21/470,732.52
  6. Step 6: Final answer
    x = 371,886.59

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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.