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Finding the Fourth Proportional to 512,999.14, 707,937.30 and 286,644.82

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Solution

The fourth proportional to 512,999.14, 707,937.30 and 286,644.82 is: 395,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.14 : 707,937.30 = 286,644.82 : x
  2. Step 2: Convert to fraction form
    512,999.14/707,937.30 = 286,644.82/x
  3. Step 3: Cross multiply
    512,999.14x = 707,937.30 × 286,644.82
  4. Step 4: Simplify right side
    512,999.14x = 202,926,559,929.79
  5. Step 5: Solve for x
    x = 202,926,559,929.79/512,999.14
  6. Step 6: Final answer
    x = 395,569.01

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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.