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Finding the Fourth Proportional to 284,057.33, 425,308.80 and 276,528.38

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Solution

The fourth proportional to 284,057.33, 425,308.80 and 276,528.38 is: 414,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057.33 : 425,308.80 = 276,528.38 : x
  2. Step 2: Convert to fraction form
    284,057.33/425,308.80 = 276,528.38/x
  3. Step 3: Cross multiply
    284,057.33x = 425,308.80 × 276,528.38
  4. Step 4: Simplify right side
    284,057.33x = 117,609,953,463.74
  5. Step 5: Solve for x
    x = 117,609,953,463.74/284,057.33
  6. Step 6: Final answer
    x = 414,035.97

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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.