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Finding the Fourth Proportional to 705,725.11, 973,686 and 399,752.83

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Solution

The fourth proportional to 705,725.11, 973,686 and 399,752.83 is: 551,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,725.11 : 973,686 = 399,752.83 : x
  2. Step 2: Convert to fraction form
    705,725.11/973,686 = 399,752.83/x
  3. Step 3: Cross multiply
    705,725.11x = 973,686 × 399,752.83
  4. Step 4: Simplify right side
    705,725.11x = 389,233,734,031.38
  5. Step 5: Solve for x
    x = 389,233,734,031.38/705,725.11
  6. Step 6: Final answer
    x = 551,537.32

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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.