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Finding the Fourth Proportional to 462,978, 694,466.28 and 304,057.26

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Solution

The fourth proportional to 462,978, 694,466.28 and 304,057.26 is: 456,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,978 : 694,466.28 = 304,057.26 : x
  2. Step 2: Convert to fraction form
    462,978/694,466.28 = 304,057.26/x
  3. Step 3: Cross multiply
    462,978x = 694,466.28 × 304,057.26
  4. Step 4: Simplify right side
    462,978x = 211,157,514,259.19
  5. Step 5: Solve for x
    x = 211,157,514,259.19/462,978
  6. Step 6: Final answer
    x = 456,085.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.