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Finding the Fourth Proportional to 341,314.07, 471,013.61 and 190,411.07

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Solution

The fourth proportional to 341,314.07, 471,013.61 and 190,411.07 is: 262,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,314.07 : 471,013.61 = 190,411.07 : x
  2. Step 2: Convert to fraction form
    341,314.07/471,013.61 = 190,411.07/x
  3. Step 3: Cross multiply
    341,314.07x = 471,013.61 × 190,411.07
  4. Step 4: Simplify right side
    341,314.07x = 89,686,203,109.59
  5. Step 5: Solve for x
    x = 89,686,203,109.59/341,314.07
  6. Step 6: Final answer
    x = 262,767.38

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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.