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Finding the Fourth Proportional to 298,637.67, 412,119.90 and 164,501.67

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Solution

The fourth proportional to 298,637.67, 412,119.90 and 164,501.67 is: 227,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,637.67 : 412,119.90 = 164,501.67 : x
  2. Step 2: Convert to fraction form
    298,637.67/412,119.90 = 164,501.67/x
  3. Step 3: Cross multiply
    298,637.67x = 412,119.90 × 164,501.67
  4. Step 4: Simplify right side
    298,637.67x = 67,794,411,790.23
  5. Step 5: Solve for x
    x = 67,794,411,790.23/298,637.67
  6. Step 6: Final answer
    x = 227,012.26

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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.