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Finding the Fourth Proportional to 341,226, 470,906.46 and 190,323

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Solution

The fourth proportional to 341,226, 470,906.46 and 190,323 is: 262,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,226 : 470,906.46 = 190,323 : x
  2. Step 2: Convert to fraction form
    341,226/470,906.46 = 190,323/x
  3. Step 3: Cross multiply
    341,226x = 470,906.46 × 190,323
  4. Step 4: Simplify right side
    341,226x = 89,624,330,186.58
  5. Step 5: Solve for x
    x = 89,624,330,186.58/341,226
  6. Step 6: Final answer
    x = 262,653.87

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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.