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Finding the Fourth Proportional to 298,973.46, 412,585.25 and 163,009.67

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Solution

The fourth proportional to 298,973.46, 412,585.25 and 163,009.67 is: 224,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973.46 : 412,585.25 = 163,009.67 : x
  2. Step 2: Convert to fraction form
    298,973.46/412,585.25 = 163,009.67/x
  3. Step 3: Cross multiply
    298,973.46x = 412,585.25 × 163,009.67
  4. Step 4: Simplify right side
    298,973.46x = 67,255,385,449.37
  5. Step 5: Solve for x
    x = 67,255,385,449.37/298,973.46
  6. Step 6: Final answer
    x = 224,954.37

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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.