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Finding the Fourth Proportional to 298,572.48, 412,011.12 and 164,436.48

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Solution

The fourth proportional to 298,572.48, 412,011.12 and 164,436.48 is: 226,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,572.48 : 412,011.12 = 164,436.48 : x
  2. Step 2: Convert to fraction form
    298,572.48/412,011.12 = 164,436.48/x
  3. Step 3: Cross multiply
    298,572.48x = 412,011.12 × 164,436.48
  4. Step 4: Simplify right side
    298,572.48x = 67,749,658,293.66
  5. Step 5: Solve for x
    x = 67,749,658,293.66/298,572.48
  6. Step 6: Final answer
    x = 226,911.93

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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.