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Finding the Fourth Proportional to 298,294.92, 411,647.04 and 164,158.92

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Solution

The fourth proportional to 298,294.92, 411,647.04 and 164,158.92 is: 226,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,294.92 : 411,647.04 = 164,158.92 : x
  2. Step 2: Convert to fraction form
    298,294.92/411,647.04 = 164,158.92/x
  3. Step 3: Cross multiply
    298,294.92x = 411,647.04 × 164,158.92
  4. Step 4: Simplify right side
    298,294.92x = 67,575,533,507.60
  5. Step 5: Solve for x
    x = 67,575,533,507.60/298,294.92
  6. Step 6: Final answer
    x = 226,539.34

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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.