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Finding the Fourth Proportional to 483,994.60, 725,117.10 and 414,010.60

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Solution

The fourth proportional to 483,994.60, 725,117.10 and 414,010.60 is: 620,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,994.60 : 725,117.10 = 414,010.60 : x
  2. Step 2: Convert to fraction form
    483,994.60/725,117.10 = 414,010.60/x
  3. Step 3: Cross multiply
    483,994.60x = 725,117.10 × 414,010.60
  4. Step 4: Simplify right side
    483,994.60x = 300,206,165,641.26
  5. Step 5: Solve for x
    x = 300,206,165,641.26/483,994.60
  6. Step 6: Final answer
    x = 620,267.59

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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.