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Finding the Fourth Proportional to 308,083.70, 461,347.95 and 202,330.10

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Solution

The fourth proportional to 308,083.70, 461,347.95 and 202,330.10 is: 302,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,083.70 : 461,347.95 = 202,330.10 : x
  2. Step 2: Convert to fraction form
    308,083.70/461,347.95 = 202,330.10/x
  3. Step 3: Cross multiply
    308,083.70x = 461,347.95 × 202,330.10
  4. Step 4: Simplify right side
    308,083.70x = 93,344,576,858.30
  5. Step 5: Solve for x
    x = 93,344,576,858.30/308,083.70
  6. Step 6: Final answer
    x = 302,984.47

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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.