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Finding the Fourth Proportional to 462,420.96, 693,211.04 and 177,930.06

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Solution

The fourth proportional to 462,420.96, 693,211.04 and 177,930.06 is: 266,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,420.96 : 693,211.04 = 177,930.06 : x
  2. Step 2: Convert to fraction form
    462,420.96/693,211.04 = 177,930.06/x
  3. Step 3: Cross multiply
    462,420.96x = 693,211.04 × 177,930.06
  4. Step 4: Simplify right side
    462,420.96x = 123,343,081,939.86
  5. Step 5: Solve for x
    x = 123,343,081,939.86/462,420.96
  6. Step 6: Final answer
    x = 266,733.33

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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.