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Finding the Fourth Proportional to 340,441.08, 469,891.44 and 197,178

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Solution

The fourth proportional to 340,441.08, 469,891.44 and 197,178 is: 272,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,441.08 : 469,891.44 = 197,178 : x
  2. Step 2: Convert to fraction form
    340,441.08/469,891.44 = 197,178/x
  3. Step 3: Cross multiply
    340,441.08x = 469,891.44 × 197,178
  4. Step 4: Simplify right side
    340,441.08x = 92,652,254,356.32
  5. Step 5: Solve for x
    x = 92,652,254,356.32/340,441.08
  6. Step 6: Final answer
    x = 272,153.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.