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Finding the Fourth Proportional to 707,722.47, 976,684.65 and 401,827.31

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Solution

The fourth proportional to 707,722.47, 976,684.65 and 401,827.31 is: 554,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,722.47 : 976,684.65 = 401,827.31 : x
  2. Step 2: Convert to fraction form
    707,722.47/976,684.65 = 401,827.31/x
  3. Step 3: Cross multiply
    707,722.47x = 976,684.65 × 401,827.31
  4. Step 4: Simplify right side
    707,722.47x = 392,458,560,744.37
  5. Step 5: Solve for x
    x = 392,458,560,744.37/707,722.47
  6. Step 6: Final answer
    x = 554,537.38

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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.