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Finding the Fourth Proportional to 711,604.63, 982,057.94 and 409,895.83

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Solution

The fourth proportional to 711,604.63, 982,057.94 and 409,895.83 is: 565,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,604.63 : 982,057.94 = 409,895.83 : x
  2. Step 2: Convert to fraction form
    711,604.63/982,057.94 = 409,895.83/x
  3. Step 3: Cross multiply
    711,604.63x = 982,057.94 × 409,895.83
  4. Step 4: Simplify right side
    711,604.63x = 402,541,454,424.39
  5. Step 5: Solve for x
    x = 402,541,454,424.39/711,604.63
  6. Step 6: Final answer
    x = 565,681.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.