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Finding the Fourth Proportional to 298,586.48, 412,030.44 and 164,450.48

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Solution

The fourth proportional to 298,586.48, 412,030.44 and 164,450.48 is: 226,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,586.48 : 412,030.44 = 164,450.48 : x
  2. Step 2: Convert to fraction form
    298,586.48/412,030.44 = 164,450.48/x
  3. Step 3: Cross multiply
    298,586.48x = 412,030.44 × 164,450.48
  4. Step 4: Simplify right side
    298,586.48x = 67,758,603,632.61
  5. Step 5: Solve for x
    x = 67,758,603,632.61/298,586.48
  6. Step 6: Final answer
    x = 226,931.25

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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.