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Finding the Fourth Proportional to 546,406.98, 754,045.92 and 304,705.22

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Solution

The fourth proportional to 546,406.98, 754,045.92 and 304,705.22 is: 420,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,406.98 : 754,045.92 = 304,705.22 : x
  2. Step 2: Convert to fraction form
    546,406.98/754,045.92 = 304,705.22/x
  3. Step 3: Cross multiply
    546,406.98x = 754,045.92 × 304,705.22
  4. Step 4: Simplify right side
    546,406.98x = 229,761,724,173.47
  5. Step 5: Solve for x
    x = 229,761,724,173.47/546,406.98
  6. Step 6: Final answer
    x = 420,495.59

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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.