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Finding the Fourth Proportional to 965,472.90, 1,448,679.75 and 397,024.80

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Solution

The fourth proportional to 965,472.90, 1,448,679.75 and 397,024.80 is: 595,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,472.90 : 1,448,679.75 = 397,024.80 : x
  2. Step 2: Convert to fraction form
    965,472.90/1,448,679.75 = 397,024.80/x
  3. Step 3: Cross multiply
    965,472.90x = 1,448,679.75 × 397,024.80
  4. Step 4: Simplify right side
    965,472.90x = 575,161,788,007.80
  5. Step 5: Solve for x
    x = 575,161,788,007.80/965,472.90
  6. Step 6: Final answer
    x = 595,730.64

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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.