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Finding the Fourth Proportional to 341,199, 470,854.62 and 190,296

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Solution

The fourth proportional to 341,199, 470,854.62 and 190,296 is: 262,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,199 : 470,854.62 = 190,296 : x
  2. Step 2: Convert to fraction form
    341,199/470,854.62 = 190,296/x
  3. Step 3: Cross multiply
    341,199x = 470,854.62 × 190,296
  4. Step 4: Simplify right side
    341,199x = 89,601,750,767.52
  5. Step 5: Solve for x
    x = 89,601,750,767.52/341,199
  6. Step 6: Final answer
    x = 262,608.48

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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.