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Finding the Fourth Proportional to 294,841, 442,261.50 and 97,849

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Solution

The fourth proportional to 294,841, 442,261.50 and 97,849 is: 146,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,841 : 442,261.50 = 97,849 : x
  2. Step 2: Convert to fraction form
    294,841/442,261.50 = 97,849/x
  3. Step 3: Cross multiply
    294,841x = 442,261.50 × 97,849
  4. Step 4: Simplify right side
    294,841x = 43,274,845,513.50
  5. Step 5: Solve for x
    x = 43,274,845,513.50/294,841
  6. Step 6: Final answer
    x = 146,773.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.