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Finding the Fourth Proportional to 612,493.56, 845,292.78 and 340,581.24

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Solution

The fourth proportional to 612,493.56, 845,292.78 and 340,581.24 is: 470,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,493.56 : 845,292.78 = 340,581.24 : x
  2. Step 2: Convert to fraction form
    612,493.56/845,292.78 = 340,581.24/x
  3. Step 3: Cross multiply
    612,493.56x = 845,292.78 × 340,581.24
  4. Step 4: Simplify right side
    612,493.56x = 287,890,863,175.45
  5. Step 5: Solve for x
    x = 287,890,863,175.45/612,493.56
  6. Step 6: Final answer
    x = 470,030.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.