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Finding the Fourth Proportional to 365,072.69, 546,865.45 and 297,844.31

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Solution

The fourth proportional to 365,072.69, 546,865.45 and 297,844.31 is: 446,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,072.69 : 546,865.45 = 297,844.31 : x
  2. Step 2: Convert to fraction form
    365,072.69/546,865.45 = 297,844.31/x
  3. Step 3: Cross multiply
    365,072.69x = 546,865.45 × 297,844.31
  4. Step 4: Simplify right side
    365,072.69x = 162,880,763,240.64
  5. Step 5: Solve for x
    x = 162,880,763,240.64/365,072.69
  6. Step 6: Final answer
    x = 446,159.81

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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.