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Finding the Fourth Proportional to 298,296.41, 411,649.10 and 164,160.41

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Solution

The fourth proportional to 298,296.41, 411,649.10 and 164,160.41 is: 226,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296.41 : 411,649.10 = 164,160.41 : x
  2. Step 2: Convert to fraction form
    298,296.41/411,649.10 = 164,160.41/x
  3. Step 3: Cross multiply
    298,296.41x = 411,649.10 × 164,160.41
  4. Step 4: Simplify right side
    298,296.41x = 67,576,482,153.08
  5. Step 5: Solve for x
    x = 67,576,482,153.08/298,296.41
  6. Step 6: Final answer
    x = 226,541.39

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1.5x scale

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.