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Finding the Fourth Proportional to 341,228, 470,893.32 and 188,275.71

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Solution

The fourth proportional to 341,228, 470,893.32 and 188,275.71 is: 259,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,228 : 470,893.32 = 188,275.71 : x
  2. Step 2: Convert to fraction form
    341,228/470,893.32 = 188,275.71/x
  3. Step 3: Cross multiply
    341,228x = 470,893.32 × 188,275.71
  4. Step 4: Simplify right side
    341,228x = 88,657,773,215.88
  5. Step 5: Solve for x
    x = 88,657,773,215.88/341,228
  6. Step 6: Final answer
    x = 259,819.75

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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.