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Finding the Fourth Proportional to 294,840, 442,260 and 97,848

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Solution

The fourth proportional to 294,840, 442,260 and 97,848 is: 146,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,840 : 442,260 = 97,848 : x
  2. Step 2: Convert to fraction form
    294,840/442,260 = 97,848/x
  3. Step 3: Cross multiply
    294,840x = 442,260 × 97,848
  4. Step 4: Simplify right side
    294,840x = 43,274,256,480
  5. Step 5: Solve for x
    x = 43,274,256,480/294,840
  6. Step 6: Final answer
    x = 146,772

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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.