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Finding the Fourth Proportional to 713,608.11, 1,070,073.18 and 414,180.47

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Solution

The fourth proportional to 713,608.11, 1,070,073.18 and 414,180.47 is: 621,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,608.11 : 1,070,073.18 = 414,180.47 : x
  2. Step 2: Convert to fraction form
    713,608.11/1,070,073.18 = 414,180.47/x
  3. Step 3: Cross multiply
    713,608.11x = 1,070,073.18 × 414,180.47
  4. Step 4: Simplify right side
    713,608.11x = 443,203,415,301.98
  5. Step 5: Solve for x
    x = 443,203,415,301.98/713,608.11
  6. Step 6: Final answer
    x = 621,073.96

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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.