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Finding the Fourth Proportional to 546,768.29, 754,562.10 and 305,071.98

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Solution

The fourth proportional to 546,768.29, 754,562.10 and 305,071.98 is: 421,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,768.29 : 754,562.10 = 305,071.98 : x
  2. Step 2: Convert to fraction form
    546,768.29/754,562.10 = 305,071.98/x
  3. Step 3: Cross multiply
    546,768.29x = 754,562.10 × 305,071.98
  4. Step 4: Simplify right side
    546,768.29x = 230,195,753,879.96
  5. Step 5: Solve for x
    x = 230,195,753,879.96/546,768.29
  6. Step 6: Final answer
    x = 421,011.53

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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.