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Finding the Fourth Proportional to 465,969.46, 642,263.52 and 329,828.80

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Solution

The fourth proportional to 465,969.46, 642,263.52 and 329,828.80 is: 454,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,969.46 : 642,263.52 = 329,828.80 : x
  2. Step 2: Convert to fraction form
    465,969.46/642,263.52 = 329,828.80/x
  3. Step 3: Cross multiply
    465,969.46x = 642,263.52 × 329,828.80
  4. Step 4: Simplify right side
    465,969.46x = 211,837,006,085.38
  5. Step 5: Solve for x
    x = 211,837,006,085.38/465,969.46
  6. Step 6: Final answer
    x = 454,615.64

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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.