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Finding the Fourth Proportional to 705,706.07, 973,659.83 and 399,733.83

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Solution

The fourth proportional to 705,706.07, 973,659.83 and 399,733.83 is: 551,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,706.07 : 973,659.83 = 399,733.83 : x
  2. Step 2: Convert to fraction form
    705,706.07/973,659.83 = 399,733.83/x
  3. Step 3: Cross multiply
    705,706.07x = 973,659.83 × 399,733.83
  4. Step 4: Simplify right side
    705,706.07x = 389,204,770,964.38
  5. Step 5: Solve for x
    x = 389,204,770,964.38/705,706.07
  6. Step 6: Final answer
    x = 551,511.16

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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.