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Finding the Fourth Proportional to 713,453.80, 1,070,180.70 and 214,817.80

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Solution

The fourth proportional to 713,453.80, 1,070,180.70 and 214,817.80 is: 322,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,453.80 : 1,070,180.70 = 214,817.80 : x
  2. Step 2: Convert to fraction form
    713,453.80/1,070,180.70 = 214,817.80/x
  3. Step 3: Cross multiply
    713,453.80x = 1,070,180.70 × 214,817.80
  4. Step 4: Simplify right side
    713,453.80x = 229,893,863,576.46
  5. Step 5: Solve for x
    x = 229,893,863,576.46/713,453.80
  6. Step 6: Final answer
    x = 322,226.70

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Why These Related Problems?

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