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Finding the Fourth Proportional to 340,438.40, 510,657.60 and 303,696.80

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Solution

The fourth proportional to 340,438.40, 510,657.60 and 303,696.80 is: 455,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,438.40 : 510,657.60 = 303,696.80 : x
  2. Step 2: Convert to fraction form
    340,438.40/510,657.60 = 303,696.80/x
  3. Step 3: Cross multiply
    340,438.40x = 510,657.60 × 303,696.80
  4. Step 4: Simplify right side
    340,438.40x = 155,085,079,015.68
  5. Step 5: Solve for x
    x = 155,085,079,015.68/340,438.40
  6. Step 6: Final answer
    x = 455,545.20

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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.