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Finding the Fourth Proportional to 298,706.14, 412,214.25 and 164,570.14

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Solution

The fourth proportional to 298,706.14, 412,214.25 and 164,570.14 is: 227,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,706.14 : 412,214.25 = 164,570.14 : x
  2. Step 2: Convert to fraction form
    298,706.14/412,214.25 = 164,570.14/x
  3. Step 3: Cross multiply
    298,706.14x = 412,214.25 × 164,570.14
  4. Step 4: Simplify right side
    298,706.14x = 67,838,156,832.50
  5. Step 5: Solve for x
    x = 67,838,156,832.50/298,706.14
  6. Step 6: Final answer
    x = 227,106.67

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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.