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Finding the Fourth Proportional to 707,765.64, 976,706.82 and 405,953.16

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Solution

The fourth proportional to 707,765.64, 976,706.82 and 405,953.16 is: 560,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,765.64 : 976,706.82 = 405,953.16 : x
  2. Step 2: Convert to fraction form
    707,765.64/976,706.82 = 405,953.16/x
  3. Step 3: Cross multiply
    707,765.64x = 976,706.82 × 405,953.16
  4. Step 4: Simplify right side
    707,765.64x = 396,497,219,972.55
  5. Step 5: Solve for x
    x = 396,497,219,972.55/707,765.64
  6. Step 6: Final answer
    x = 560,209.76

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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.