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Finding the Fourth Proportional to 333,664.38, 460,465.28 and 204,673.98

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Solution

The fourth proportional to 333,664.38, 460,465.28 and 204,673.98 is: 282,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,664.38 : 460,465.28 = 204,673.98 : x
  2. Step 2: Convert to fraction form
    333,664.38/460,465.28 = 204,673.98/x
  3. Step 3: Cross multiply
    333,664.38x = 460,465.28 × 204,673.98
  4. Step 4: Simplify right side
    333,664.38x = 94,245,260,318.32
  5. Step 5: Solve for x
    x = 94,245,260,318.32/333,664.38
  6. Step 6: Final answer
    x = 282,455.27

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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.