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Finding the Fourth Proportional to 470,098.40, 705,147.60 and 418,922.60

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Solution

The fourth proportional to 470,098.40, 705,147.60 and 418,922.60 is: 628,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,098.40 : 705,147.60 = 418,922.60 : x
  2. Step 2: Convert to fraction form
    470,098.40/705,147.60 = 418,922.60/x
  3. Step 3: Cross multiply
    470,098.40x = 705,147.60 × 418,922.60
  4. Step 4: Simplify right side
    470,098.40x = 295,402,265,975.76
  5. Step 5: Solve for x
    x = 295,402,265,975.76/470,098.40
  6. Step 6: Final answer
    x = 628,383.90

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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.