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Finding the Fourth Proportional to 674,752.92, 1,012,295.42 and 475,462.54

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Solution

The fourth proportional to 674,752.92, 1,012,295.42 and 475,462.54 is: 713,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,752.92 : 1,012,295.42 = 475,462.54 : x
  2. Step 2: Convert to fraction form
    674,752.92/1,012,295.42 = 475,462.54/x
  3. Step 3: Cross multiply
    674,752.92x = 1,012,295.42 × 475,462.54
  4. Step 4: Simplify right side
    674,752.92x = 481,308,552,294.61
  5. Step 5: Solve for x
    x = 481,308,552,294.61/674,752.92
  6. Step 6: Final answer
    x = 713,310.81

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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.