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Finding the Fourth Proportional to 638,903.80, 958,355.70 and 470,942.20

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Solution

The fourth proportional to 638,903.80, 958,355.70 and 470,942.20 is: 706,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,903.80 : 958,355.70 = 470,942.20 : x
  2. Step 2: Convert to fraction form
    638,903.80/958,355.70 = 470,942.20/x
  3. Step 3: Cross multiply
    638,903.80x = 958,355.70 × 470,942.20
  4. Step 4: Simplify right side
    638,903.80x = 451,330,141,740.54
  5. Step 5: Solve for x
    x = 451,330,141,740.54/638,903.80
  6. Step 6: Final answer
    x = 706,413.30

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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.