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Finding the Fourth Proportional to 298,296.95, 411,645.47 and 164,160.95

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Solution

The fourth proportional to 298,296.95, 411,645.47 and 164,160.95 is: 226,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296.95 : 411,645.47 = 164,160.95 : x
  2. Step 2: Convert to fraction form
    298,296.95/411,645.47 = 164,160.95/x
  3. Step 3: Cross multiply
    298,296.95x = 411,645.47 × 164,160.95
  4. Step 4: Simplify right side
    298,296.95x = 67,576,108,539.36
  5. Step 5: Solve for x
    x = 67,576,108,539.36/298,296.95
  6. Step 6: Final answer
    x = 226,539.73

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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.