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Finding the Fourth Proportional to 264,095.80, 395,706.30 and 224,729.80

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Solution

The fourth proportional to 264,095.80, 395,706.30 and 224,729.80 is: 336,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,095.80 : 395,706.30 = 224,729.80 : x
  2. Step 2: Convert to fraction form
    264,095.80/395,706.30 = 224,729.80/x
  3. Step 3: Cross multiply
    264,095.80x = 395,706.30 × 224,729.80
  4. Step 4: Simplify right side
    264,095.80x = 88,926,997,657.74
  5. Step 5: Solve for x
    x = 88,926,997,657.74/264,095.80
  6. Step 6: Final answer
    x = 336,722.50

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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.