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Finding the Fourth Proportional to 648,482, 972,727.32 and 205,250

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Solution

The fourth proportional to 648,482, 972,727.32 and 205,250 is: 307,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,482 : 972,727.32 = 205,250 : x
  2. Step 2: Convert to fraction form
    648,482/972,727.32 = 205,250/x
  3. Step 3: Cross multiply
    648,482x = 972,727.32 × 205,250
  4. Step 4: Simplify right side
    648,482x = 199,652,282,430
  5. Step 5: Solve for x
    x = 199,652,282,430/648,482
  6. Step 6: Final answer
    x = 307,876.37

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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.