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Finding the Fourth Proportional to 284,920.49, 393,268.01 and 177,427.01

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Solution

The fourth proportional to 284,920.49, 393,268.01 and 177,427.01 is: 244,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,920.49 : 393,268.01 = 177,427.01 : x
  2. Step 2: Convert to fraction form
    284,920.49/393,268.01 = 177,427.01/x
  3. Step 3: Cross multiply
    284,920.49x = 393,268.01 × 177,427.01
  4. Step 4: Simplify right side
    284,920.49x = 69,776,364,289.48
  5. Step 5: Solve for x
    x = 69,776,364,289.48/284,920.49
  6. Step 6: Final answer
    x = 244,897.67

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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.