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Finding the Fourth Proportional to 380,824.94, 525,518.18 and 219,670.38

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Solution

The fourth proportional to 380,824.94, 525,518.18 and 219,670.38 is: 303,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,824.94 : 525,518.18 = 219,670.38 : x
  2. Step 2: Convert to fraction form
    380,824.94/525,518.18 = 219,670.38/x
  3. Step 3: Cross multiply
    380,824.94x = 525,518.18 × 219,670.38
  4. Step 4: Simplify right side
    380,824.94x = 115,440,778,022.92
  5. Step 5: Solve for x
    x = 115,440,778,022.92/380,824.94
  6. Step 6: Final answer
    x = 303,133.45

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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.