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Finding the Fourth Proportional to 298,545.48, 411,974.10 and 164,409.48

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Solution

The fourth proportional to 298,545.48, 411,974.10 and 164,409.48 is: 226,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,545.48 : 411,974.10 = 164,409.48 : x
  2. Step 2: Convert to fraction form
    298,545.48/411,974.10 = 164,409.48/x
  3. Step 3: Cross multiply
    298,545.48x = 411,974.10 × 164,409.48
  4. Step 4: Simplify right side
    298,545.48x = 67,732,447,554.47
  5. Step 5: Solve for x
    x = 67,732,447,554.47/298,545.48
  6. Step 6: Final answer
    x = 226,874.80

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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.