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Finding the Fourth Proportional to 294,891, 442,336.50 and 97,899

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Solution

The fourth proportional to 294,891, 442,336.50 and 97,899 is: 146,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,891 : 442,336.50 = 97,899 : x
  2. Step 2: Convert to fraction form
    294,891/442,336.50 = 97,899/x
  3. Step 3: Cross multiply
    294,891x = 442,336.50 × 97,899
  4. Step 4: Simplify right side
    294,891x = 43,304,301,013.50
  5. Step 5: Solve for x
    x = 43,304,301,013.50/294,891
  6. Step 6: Final answer
    x = 146,848.50

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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.