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Finding the Fourth Proportional to 298,461.63, 411,874.52 and 162,495.23

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Solution

The fourth proportional to 298,461.63, 411,874.52 and 162,495.23 is: 224,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461.63 : 411,874.52 = 162,495.23 : x
  2. Step 2: Convert to fraction form
    298,461.63/411,874.52 = 162,495.23/x
  3. Step 3: Cross multiply
    298,461.63x = 411,874.52 × 162,495.23
  4. Step 4: Simplify right side
    298,461.63x = 66,927,641,986.69
  5. Step 5: Solve for x
    x = 66,927,641,986.69/298,461.63
  6. Step 6: Final answer
    x = 224,242.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.