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Finding the Fourth Proportional to 713,712.36, 1,070,229.51 and 414,284.70

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Solution

The fourth proportional to 713,712.36, 1,070,229.51 and 414,284.70 is: 621,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,712.36 : 1,070,229.51 = 414,284.70 : x
  2. Step 2: Convert to fraction form
    713,712.36/1,070,229.51 = 414,284.70/x
  3. Step 3: Cross multiply
    713,712.36x = 1,070,229.51 × 414,284.70
  4. Step 4: Simplify right side
    713,712.36x = 443,379,711,481.50
  5. Step 5: Solve for x
    x = 443,379,711,481.50/713,712.36
  6. Step 6: Final answer
    x = 621,230.26

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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.