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Finding the Fourth Proportional to 512,596.78, 707,405.03 and 294,805.60

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Solution

The fourth proportional to 512,596.78, 707,405.03 and 294,805.60 is: 406,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,596.78 : 707,405.03 = 294,805.60 : x
  2. Step 2: Convert to fraction form
    512,596.78/707,405.03 = 294,805.60/x
  3. Step 3: Cross multiply
    512,596.78x = 707,405.03 × 294,805.60
  4. Step 4: Simplify right side
    512,596.78x = 208,546,964,312.17
  5. Step 5: Solve for x
    x = 208,546,964,312.17/512,596.78
  6. Step 6: Final answer
    x = 406,844.08

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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.