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Finding the Fourth Proportional to 341,730.02, 471,809.13 and 305,857.82

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Solution

The fourth proportional to 341,730.02, 471,809.13 and 305,857.82 is: 422,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,730.02 : 471,809.13 = 305,857.82 : x
  2. Step 2: Convert to fraction form
    341,730.02/471,809.13 = 305,857.82/x
  3. Step 3: Cross multiply
    341,730.02x = 471,809.13 × 305,857.82
  4. Step 4: Simplify right side
    341,730.02x = 144,306,511,957.90
  5. Step 5: Solve for x
    x = 144,306,511,957.90/341,730.02
  6. Step 6: Final answer
    x = 422,282.22

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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.