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Finding the Fourth Proportional to 295,965, 443,947.68 and 98,973

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Solution

The fourth proportional to 295,965, 443,947.68 and 98,973 is: 148,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,965 : 443,947.68 = 98,973 : x
  2. Step 2: Convert to fraction form
    295,965/443,947.68 = 98,973/x
  3. Step 3: Cross multiply
    295,965x = 443,947.68 × 98,973
  4. Step 4: Simplify right side
    295,965x = 43,938,833,732.64
  5. Step 5: Solve for x
    x = 43,938,833,732.64/295,965
  6. Step 6: Final answer
    x = 148,459.56

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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.