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Finding the Fourth Proportional to 711,728.12, 982,197.06 and 389,466.38

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Solution

The fourth proportional to 711,728.12, 982,197.06 and 389,466.38 is: 537,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,728.12 : 982,197.06 = 389,466.38 : x
  2. Step 2: Convert to fraction form
    711,728.12/982,197.06 = 389,466.38/x
  3. Step 3: Cross multiply
    711,728.12x = 982,197.06 × 389,466.38
  4. Step 4: Simplify right side
    711,728.12x = 382,532,733,404.84
  5. Step 5: Solve for x
    x = 382,532,733,404.84/711,728.12
  6. Step 6: Final answer
    x = 537,470.31

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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.