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Finding the Fourth Proportional to 546,434.64, 754,083.09 and 304,732.49

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Solution

The fourth proportional to 546,434.64, 754,083.09 and 304,732.49 is: 420,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,434.64 : 754,083.09 = 304,732.49 : x
  2. Step 2: Convert to fraction form
    546,434.64/754,083.09 = 304,732.49/x
  3. Step 3: Cross multiply
    546,434.64x = 754,083.09 × 304,732.49
  4. Step 4: Simplify right side
    546,434.64x = 229,793,616,739.99
  5. Step 5: Solve for x
    x = 229,793,616,739.99/546,434.64
  6. Step 6: Final answer
    x = 420,532.66

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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.