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Finding the Fourth Proportional to 442,283.54, 663,235.76 and 205,601.54

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Solution

The fourth proportional to 442,283.54, 663,235.76 and 205,601.54 is: 308,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,283.54 : 663,235.76 = 205,601.54 : x
  2. Step 2: Convert to fraction form
    442,283.54/663,235.76 = 205,601.54/x
  3. Step 3: Cross multiply
    442,283.54x = 663,235.76 × 205,601.54
  4. Step 4: Simplify right side
    442,283.54x = 136,362,293,639.07
  5. Step 5: Solve for x
    x = 136,362,293,639.07/442,283.54
  6. Step 6: Final answer
    x = 308,314.20

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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.