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Finding the Fourth Proportional to 416,712.09, 624,674.46 and 378,527.07

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Solution

The fourth proportional to 416,712.09, 624,674.46 and 378,527.07 is: 567,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,712.09 : 624,674.46 = 378,527.07 : x
  2. Step 2: Convert to fraction form
    416,712.09/624,674.46 = 378,527.07/x
  3. Step 3: Cross multiply
    416,712.09x = 624,674.46 × 378,527.07
  4. Step 4: Simplify right side
    416,712.09x = 236,456,193,047.63
  5. Step 5: Solve for x
    x = 236,456,193,047.63/416,712.09
  6. Step 6: Final answer
    x = 567,433.00

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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.