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Finding the Fourth Proportional to 546,878.98, 754,675.14 and 298,511.38

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Solution

The fourth proportional to 546,878.98, 754,675.14 and 298,511.38 is: 411,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,878.98 : 754,675.14 = 298,511.38 : x
  2. Step 2: Convert to fraction form
    546,878.98/754,675.14 = 298,511.38/x
  3. Step 3: Cross multiply
    546,878.98x = 754,675.14 × 298,511.38
  4. Step 4: Simplify right side
    546,878.98x = 225,279,117,493.09
  5. Step 5: Solve for x
    x = 225,279,117,493.09/546,878.98
  6. Step 6: Final answer
    x = 411,935.96

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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.