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Finding the Fourth Proportional to 543,705.81, 750,293.14 and 302,003.83

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Solution

The fourth proportional to 543,705.81, 750,293.14 and 302,003.83 is: 416,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,705.81 : 750,293.14 = 302,003.83 : x
  2. Step 2: Convert to fraction form
    543,705.81/750,293.14 = 302,003.83/x
  3. Step 3: Cross multiply
    543,705.81x = 750,293.14 × 302,003.83
  4. Step 4: Simplify right side
    543,705.81x = 226,591,401,902.73
  5. Step 5: Solve for x
    x = 226,591,401,902.73/543,705.81
  6. Step 6: Final answer
    x = 416,753.69

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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.