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Finding the Fourth Proportional to 473,696.40, 710,947.80 and 193,414.80

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Solution

The fourth proportional to 473,696.40, 710,947.80 and 193,414.80 is: 290,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,696.40 : 710,947.80 = 193,414.80 : x
  2. Step 2: Convert to fraction form
    473,696.40/710,947.80 = 193,414.80/x
  3. Step 3: Cross multiply
    473,696.40x = 710,947.80 × 193,414.80
  4. Step 4: Simplify right side
    473,696.40x = 137,507,826,547.44
  5. Step 5: Solve for x
    x = 137,507,826,547.44/473,696.40
  6. Step 6: Final answer
    x = 290,286.83

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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.