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Finding the Fourth Proportional to 400,597.44, 600,857.12 and 105,109.44

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Solution

The fourth proportional to 400,597.44, 600,857.12 and 105,109.44 is: 157,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,597.44 : 600,857.12 = 105,109.44 : x
  2. Step 2: Convert to fraction form
    400,597.44/600,857.12 = 105,109.44/x
  3. Step 3: Cross multiply
    400,597.44x = 600,857.12 × 105,109.44
  4. Step 4: Simplify right side
    400,597.44x = 63,155,755,403.21
  5. Step 5: Solve for x
    x = 63,155,755,403.21/400,597.44
  6. Step 6: Final answer
    x = 157,653.92

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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.