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Finding the Fourth Proportional to 269,608.16, 404,762.15 and 207,322.40

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Solution

The fourth proportional to 269,608.16, 404,762.15 and 207,322.40 is: 311,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,608.16 : 404,762.15 = 207,322.40 : x
  2. Step 2: Convert to fraction form
    269,608.16/404,762.15 = 207,322.40/x
  3. Step 3: Cross multiply
    269,608.16x = 404,762.15 × 207,322.40
  4. Step 4: Simplify right side
    269,608.16x = 83,916,258,861.66
  5. Step 5: Solve for x
    x = 83,916,258,861.66/269,608.16
  6. Step 6: Final answer
    x = 311,252.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.