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Finding the Fourth Proportional to 402,259.94, 603,467.70 and 152,922.50

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Solution

The fourth proportional to 402,259.94, 603,467.70 and 152,922.50 is: 229,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,259.94 : 603,467.70 = 152,922.50 : x
  2. Step 2: Convert to fraction form
    402,259.94/603,467.70 = 152,922.50/x
  3. Step 3: Cross multiply
    402,259.94x = 603,467.70 × 152,922.50
  4. Step 4: Simplify right side
    402,259.94x = 92,283,789,353.25
  5. Step 5: Solve for x
    x = 92,283,789,353.25/402,259.94
  6. Step 6: Final answer
    x = 229,413.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.