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Finding the Fourth Proportional to 729,962, 1,007,348.04 and 412,010

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Solution

The fourth proportional to 729,962, 1,007,348.04 and 412,010 is: 568,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,962 : 1,007,348.04 = 412,010 : x
  2. Step 2: Convert to fraction form
    729,962/1,007,348.04 = 412,010/x
  3. Step 3: Cross multiply
    729,962x = 1,007,348.04 × 412,010
  4. Step 4: Simplify right side
    729,962x = 415,037,465,960.40
  5. Step 5: Solve for x
    x = 415,037,465,960.40/729,962
  6. Step 6: Final answer
    x = 568,574.07

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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.