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Finding the Fourth Proportional to 295,634, 443,454.84 and 98,642

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Solution

The fourth proportional to 295,634, 443,454.84 and 98,642 is: 147,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,634 : 443,454.84 = 98,642 : x
  2. Step 2: Convert to fraction form
    295,634/443,454.84 = 98,642/x
  3. Step 3: Cross multiply
    295,634x = 443,454.84 × 98,642
  4. Step 4: Simplify right side
    295,634x = 43,743,272,327.28
  5. Step 5: Solve for x
    x = 43,743,272,327.28/295,634
  6. Step 6: Final answer
    x = 147,964.28

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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.