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Finding the Fourth Proportional to 546,466.47, 754,122.26 and 304,749.31

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Solution

The fourth proportional to 546,466.47, 754,122.26 and 304,749.31 is: 420,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,466.47 : 754,122.26 = 304,749.31 : x
  2. Step 2: Convert to fraction form
    546,466.47/754,122.26 = 304,749.31/x
  3. Step 3: Cross multiply
    546,466.47x = 754,122.26 × 304,749.31
  4. Step 4: Simplify right side
    546,466.47x = 229,818,237,267.21
  5. Step 5: Solve for x
    x = 229,818,237,267.21/546,466.47
  6. Step 6: Final answer
    x = 420,553.23

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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.