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Finding the Fourth Proportional to 340,497.70, 509,968.95 and 200,529.70

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Solution

The fourth proportional to 340,497.70, 509,968.95 and 200,529.70 is: 300,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,497.70 : 509,968.95 = 200,529.70 : x
  2. Step 2: Convert to fraction form
    340,497.70/509,968.95 = 200,529.70/x
  3. Step 3: Cross multiply
    340,497.70x = 509,968.95 × 200,529.70
  4. Step 4: Simplify right side
    340,497.70x = 102,263,920,552.82
  5. Step 5: Solve for x
    x = 102,263,920,552.82/340,497.70
  6. Step 6: Final answer
    x = 300,336.60

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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.