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Finding the Fourth Proportional to 371,896.52, 513,206.42 and 210,766.46

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Solution

The fourth proportional to 371,896.52, 513,206.42 and 210,766.46 is: 290,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,896.52 : 513,206.42 = 210,766.46 : x
  2. Step 2: Convert to fraction form
    371,896.52/513,206.42 = 210,766.46/x
  3. Step 3: Cross multiply
    371,896.52x = 513,206.42 × 210,766.46
  4. Step 4: Simplify right side
    371,896.52x = 108,166,696,772.81
  5. Step 5: Solve for x
    x = 108,166,696,772.81/371,896.52
  6. Step 6: Final answer
    x = 290,851.60

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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.