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Finding the Fourth Proportional to 711,592.38, 982,041.03 and 409,883.58

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Solution

The fourth proportional to 711,592.38, 982,041.03 and 409,883.58 is: 565,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,592.38 : 982,041.03 = 409,883.58 : x
  2. Step 2: Convert to fraction form
    711,592.38/982,041.03 = 409,883.58/x
  3. Step 3: Cross multiply
    711,592.38x = 982,041.03 × 409,883.58
  4. Step 4: Simplify right side
    711,592.38x = 402,522,493,083.29
  5. Step 5: Solve for x
    x = 402,522,493,083.29/711,592.38
  6. Step 6: Final answer
    x = 565,664.42

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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.