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Finding the Fourth Proportional to 341,415, 471,152.72 and 188,453.23

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Solution

The fourth proportional to 341,415, 471,152.72 and 188,453.23 is: 260,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,415 : 471,152.72 = 188,453.23 : x
  2. Step 2: Convert to fraction form
    341,415/471,152.72 = 188,453.23/x
  3. Step 3: Cross multiply
    341,415x = 471,152.72 × 188,453.23
  4. Step 4: Simplify right side
    341,415x = 88,790,251,907.29
  5. Step 5: Solve for x
    x = 88,790,251,907.29/341,415
  6. Step 6: Final answer
    x = 260,065.47

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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.