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Finding the Fourth Proportional to 341,091, 470,720.16 and 190,188

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Solution

The fourth proportional to 341,091, 470,720.16 and 190,188 is: 262,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,091 : 470,720.16 = 190,188 : x
  2. Step 2: Convert to fraction form
    341,091/470,720.16 = 190,188/x
  3. Step 3: Cross multiply
    341,091x = 470,720.16 × 190,188
  4. Step 4: Simplify right side
    341,091x = 89,525,325,790.08
  5. Step 5: Solve for x
    x = 89,525,325,790.08/341,091
  6. Step 6: Final answer
    x = 262,467.57

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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.