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Finding the Fourth Proportional to 343,324.80, 513,950.40 and 301,852.80

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Solution

The fourth proportional to 343,324.80, 513,950.40 and 301,852.80 is: 451,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,324.80 : 513,950.40 = 301,852.80 : x
  2. Step 2: Convert to fraction form
    343,324.80/513,950.40 = 301,852.80/x
  3. Step 3: Cross multiply
    343,324.80x = 513,950.40 × 301,852.80
  4. Step 4: Simplify right side
    343,324.80x = 155,137,367,301.12
  5. Step 5: Solve for x
    x = 155,137,367,301.12/343,324.80
  6. Step 6: Final answer
    x = 451,867.64

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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.