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Finding the Fourth Proportional to 419,065.60, 628,598.40 and 301,842.40

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Solution

The fourth proportional to 419,065.60, 628,598.40 and 301,842.40 is: 452,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,065.60 : 628,598.40 = 301,842.40 : x
  2. Step 2: Convert to fraction form
    419,065.60/628,598.40 = 301,842.40/x
  3. Step 3: Cross multiply
    419,065.60x = 628,598.40 × 301,842.40
  4. Step 4: Simplify right side
    419,065.60x = 189,737,649,692.16
  5. Step 5: Solve for x
    x = 189,737,649,692.16/419,065.60
  6. Step 6: Final answer
    x = 452,763.60

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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.