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Finding the Fourth Proportional to 333,384.78, 460,072.46 and 180,423

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Solution

The fourth proportional to 333,384.78, 460,072.46 and 180,423 is: 248,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,384.78 : 460,072.46 = 180,423 : x
  2. Step 2: Convert to fraction form
    333,384.78/460,072.46 = 180,423/x
  3. Step 3: Cross multiply
    333,384.78x = 460,072.46 × 180,423
  4. Step 4: Simplify right side
    333,384.78x = 83,007,653,450.58
  5. Step 5: Solve for x
    x = 83,007,653,450.58/333,384.78
  6. Step 6: Final answer
    x = 248,984.53

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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.