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Finding the Fourth Proportional to 546,648.36, 754,380.42 and 304,953

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Solution

The fourth proportional to 546,648.36, 754,380.42 and 304,953 is: 420,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,648.36 : 754,380.42 = 304,953 : x
  2. Step 2: Convert to fraction form
    546,648.36/754,380.42 = 304,953/x
  3. Step 3: Cross multiply
    546,648.36x = 754,380.42 × 304,953
  4. Step 4: Simplify right side
    546,648.36x = 230,050,572,220.26
  5. Step 5: Solve for x
    x = 230,050,572,220.26/546,648.36
  6. Step 6: Final answer
    x = 420,838.31

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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.