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Finding the Fourth Proportional to 473,051.54, 652,711.38 and 300,906.92

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Solution

The fourth proportional to 473,051.54, 652,711.38 and 300,906.92 is: 415,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,051.54 : 652,711.38 = 300,906.92 : x
  2. Step 2: Convert to fraction form
    473,051.54/652,711.38 = 300,906.92/x
  3. Step 3: Cross multiply
    473,051.54x = 652,711.38 × 300,906.92
  4. Step 4: Simplify right side
    473,051.54x = 196,405,371,004.75
  5. Step 5: Solve for x
    x = 196,405,371,004.75/473,051.54
  6. Step 6: Final answer
    x = 415,188.10

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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.