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Finding the Fourth Proportional to 341,095, 470,725.68 and 190,192

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Solution

The fourth proportional to 341,095, 470,725.68 and 190,192 is: 262,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,095 : 470,725.68 = 190,192 : x
  2. Step 2: Convert to fraction form
    341,095/470,725.68 = 190,192/x
  3. Step 3: Cross multiply
    341,095x = 470,725.68 × 190,192
  4. Step 4: Simplify right side
    341,095x = 89,528,258,530.56
  5. Step 5: Solve for x
    x = 89,528,258,530.56/341,095
  6. Step 6: Final answer
    x = 262,473.09

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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.