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Finding the Fourth Proportional to 341,264.92, 470,958.42 and 190,391.08

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Solution

The fourth proportional to 341,264.92, 470,958.42 and 190,391.08 is: 262,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,264.92 : 470,958.42 = 190,391.08 : x
  2. Step 2: Convert to fraction form
    341,264.92/470,958.42 = 190,391.08/x
  3. Step 3: Cross multiply
    341,264.92x = 470,958.42 × 190,391.08
  4. Step 4: Simplify right side
    341,264.92x = 89,666,282,218.89
  5. Step 5: Solve for x
    x = 89,666,282,218.89/341,264.92
  6. Step 6: Final answer
    x = 262,746.85

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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.