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Finding the Fourth Proportional to 548,220, 822,450.96 and 232,946.40

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Solution

The fourth proportional to 548,220, 822,450.96 and 232,946.40 is: 349,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,220 : 822,450.96 = 232,946.40 : x
  2. Step 2: Convert to fraction form
    548,220/822,450.96 = 232,946.40/x
  3. Step 3: Cross multiply
    548,220x = 822,450.96 × 232,946.40
  4. Step 4: Simplify right side
    548,220x = 191,586,990,308.54
  5. Step 5: Solve for x
    x = 191,586,990,308.54/548,220
  6. Step 6: Final answer
    x = 349,471.00

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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.