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Finding the Fourth Proportional to 462,350.10, 693,462.42 and 125,412.42

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Solution

The fourth proportional to 462,350.10, 693,462.42 and 125,412.42 is: 188,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,350.10 : 693,462.42 = 125,412.42 : x
  2. Step 2: Convert to fraction form
    462,350.10/693,462.42 = 125,412.42/x
  3. Step 3: Cross multiply
    462,350.10x = 693,462.42 × 125,412.42
  4. Step 4: Simplify right side
    462,350.10x = 86,968,800,271.26
  5. Step 5: Solve for x
    x = 86,968,800,271.26/462,350.10
  6. Step 6: Final answer
    x = 188,101.61

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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.