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Finding the Fourth Proportional to 305,410.50, 457,959.24 and 161,393.76

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Solution

The fourth proportional to 305,410.50, 457,959.24 and 161,393.76 is: 242,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,410.50 : 457,959.24 = 161,393.76 : x
  2. Step 2: Convert to fraction form
    305,410.50/457,959.24 = 161,393.76/x
  3. Step 3: Cross multiply
    305,410.50x = 457,959.24 × 161,393.76
  4. Step 4: Simplify right side
    305,410.50x = 73,911,763,670.34
  5. Step 5: Solve for x
    x = 73,911,763,670.34/305,410.50
  6. Step 6: Final answer
    x = 242,007.93

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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.