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Finding the Fourth Proportional to 298,280.13, 411,626.64 and 164,144.13

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Solution

The fourth proportional to 298,280.13, 411,626.64 and 164,144.13 is: 226,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,280.13 : 411,626.64 = 164,144.13 : x
  2. Step 2: Convert to fraction form
    298,280.13/411,626.64 = 164,144.13/x
  3. Step 3: Cross multiply
    298,280.13x = 411,626.64 × 164,144.13
  4. Step 4: Simplify right side
    298,280.13x = 67,566,096,707.62
  5. Step 5: Solve for x
    x = 67,566,096,707.62/298,280.13
  6. Step 6: Final answer
    x = 226,518.93

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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.