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Finding the Fourth Proportional to 323,201.63, 484,802.45 and 101,585.63

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Solution

The fourth proportional to 323,201.63, 484,802.45 and 101,585.63 is: 152,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,201.63 : 484,802.45 = 101,585.63 : x
  2. Step 2: Convert to fraction form
    323,201.63/484,802.45 = 101,585.63/x
  3. Step 3: Cross multiply
    323,201.63x = 484,802.45 × 101,585.63
  4. Step 4: Simplify right side
    323,201.63x = 49,248,959,376.85
  5. Step 5: Solve for x
    x = 49,248,959,376.85/323,201.63
  6. Step 6: Final answer
    x = 152,378.44

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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.