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Finding the Fourth Proportional to 341,384.96, 511,913.73 and 161,320.51

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Solution

The fourth proportional to 341,384.96, 511,913.73 and 161,320.51 is: 241,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,384.96 : 511,913.73 = 161,320.51 : x
  2. Step 2: Convert to fraction form
    341,384.96/511,913.73 = 161,320.51/x
  3. Step 3: Cross multiply
    341,384.96x = 511,913.73 × 161,320.51
  4. Step 4: Simplify right side
    341,384.96x = 82,582,185,244.45
  5. Step 5: Solve for x
    x = 82,582,185,244.45/341,384.96
  6. Step 6: Final answer
    x = 241,903.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.