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Finding the Fourth Proportional to 713,890.51, 1,070,491.29 and 414,446.47

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Solution

The fourth proportional to 713,890.51, 1,070,491.29 and 414,446.47 is: 621,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,890.51 : 1,070,491.29 = 414,446.47 : x
  2. Step 2: Convert to fraction form
    713,890.51/1,070,491.29 = 414,446.47/x
  3. Step 3: Cross multiply
    713,890.51x = 1,070,491.29 × 414,446.47
  4. Step 4: Simplify right side
    713,890.51x = 443,661,336,306.25
  5. Step 5: Solve for x
    x = 443,661,336,306.25/713,890.51
  6. Step 6: Final answer
    x = 621,469.72

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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.