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Finding the Fourth Proportional to 700,516.89, 966,737.03 and 414,282.33

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Solution

The fourth proportional to 700,516.89, 966,737.03 and 414,282.33 is: 571,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,516.89 : 966,737.03 = 414,282.33 : x
  2. Step 2: Convert to fraction form
    700,516.89/966,737.03 = 414,282.33/x
  3. Step 3: Cross multiply
    700,516.89x = 966,737.03 × 414,282.33
  4. Step 4: Simplify right side
    700,516.89x = 400,502,067,214.27
  5. Step 5: Solve for x
    x = 400,502,067,214.27/700,516.89
  6. Step 6: Final answer
    x = 571,723.64

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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.