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Finding the Fourth Proportional to 294,816, 442,293.12 and 97,824

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Solution

The fourth proportional to 294,816, 442,293.12 and 97,824 is: 146,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,816 : 442,293.12 = 97,824 : x
  2. Step 2: Convert to fraction form
    294,816/442,293.12 = 97,824/x
  3. Step 3: Cross multiply
    294,816x = 442,293.12 × 97,824
  4. Step 4: Simplify right side
    294,816x = 43,266,882,170.88
  5. Step 5: Solve for x
    x = 43,266,882,170.88/294,816
  6. Step 6: Final answer
    x = 146,758.93

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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.