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Finding the Fourth Proportional to 294,842, 442,263 and 97,850

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Solution

The fourth proportional to 294,842, 442,263 and 97,850 is: 146,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,842 : 442,263 = 97,850 : x
  2. Step 2: Convert to fraction form
    294,842/442,263 = 97,850/x
  3. Step 3: Cross multiply
    294,842x = 442,263 × 97,850
  4. Step 4: Simplify right side
    294,842x = 43,275,434,550
  5. Step 5: Solve for x
    x = 43,275,434,550/294,842
  6. Step 6: Final answer
    x = 146,775

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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.