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Finding the Fourth Proportional to 298,390.24, 411,778.32 and 164,254.24

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Solution

The fourth proportional to 298,390.24, 411,778.32 and 164,254.24 is: 226,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,390.24 : 411,778.32 = 164,254.24 : x
  2. Step 2: Convert to fraction form
    298,390.24/411,778.32 = 164,254.24/x
  3. Step 3: Cross multiply
    298,390.24x = 411,778.32 × 164,254.24
  4. Step 4: Simplify right side
    298,390.24x = 67,636,335,000.08
  5. Step 5: Solve for x
    x = 67,636,335,000.08/298,390.24
  6. Step 6: Final answer
    x = 226,670.73

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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.