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Finding the Fourth Proportional to 333,898.53, 460,605.64 and 204,865.78

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Solution

The fourth proportional to 333,898.53, 460,605.64 and 204,865.78 is: 282,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,898.53 : 460,605.64 = 204,865.78 : x
  2. Step 2: Convert to fraction form
    333,898.53/460,605.64 = 204,865.78/x
  3. Step 3: Cross multiply
    333,898.53x = 460,605.64 × 204,865.78
  4. Step 4: Simplify right side
    333,898.53x = 94,362,333,711.00
  5. Step 5: Solve for x
    x = 94,362,333,711.00/333,898.53
  6. Step 6: Final answer
    x = 282,607.81

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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.