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Finding the Fourth Proportional to 419,064.60, 628,596.90 and 301,841.40

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Solution

The fourth proportional to 419,064.60, 628,596.90 and 301,841.40 is: 452,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,064.60 : 628,596.90 = 301,841.40 : x
  2. Step 2: Convert to fraction form
    419,064.60/628,596.90 = 301,841.40/x
  3. Step 3: Cross multiply
    419,064.60x = 628,596.90 × 301,841.40
  4. Step 4: Simplify right side
    419,064.60x = 189,736,568,331.66
  5. Step 5: Solve for x
    x = 189,736,568,331.66/419,064.60
  6. Step 6: Final answer
    x = 452,762.10

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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.