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Finding the Fourth Proportional to 713,885.30, 1,071,778.28 and 414,580.72

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Solution

The fourth proportional to 713,885.30, 1,071,778.28 and 414,580.72 is: 622,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,885.30 : 1,071,778.28 = 414,580.72 : x
  2. Step 2: Convert to fraction form
    713,885.30/1,071,778.28 = 414,580.72/x
  3. Step 3: Cross multiply
    713,885.30x = 1,071,778.28 × 414,580.72
  4. Step 4: Simplify right side
    713,885.30x = 444,338,611,002.76
  5. Step 5: Solve for x
    x = 444,338,611,002.76/713,885.30
  6. Step 6: Final answer
    x = 622,422.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.