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Finding the Fourth Proportional to 713,889.56, 1,070,489.89 and 414,445.52

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Solution

The fourth proportional to 713,889.56, 1,070,489.89 and 414,445.52 is: 621,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,889.56 : 1,070,489.89 = 414,445.52 : x
  2. Step 2: Convert to fraction form
    713,889.56/1,070,489.89 = 414,445.52/x
  3. Step 3: Cross multiply
    713,889.56x = 1,070,489.89 × 414,445.52
  4. Step 4: Simplify right side
    713,889.56x = 443,659,739,115.79
  5. Step 5: Solve for x
    x = 443,659,739,115.79/713,889.56
  6. Step 6: Final answer
    x = 621,468.31

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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.