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Finding the Fourth Proportional to 631,477.20, 946,409.40 and 257,077.20

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Solution

The fourth proportional to 631,477.20, 946,409.40 and 257,077.20 is: 385,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,477.20 : 946,409.40 = 257,077.20 : x
  2. Step 2: Convert to fraction form
    631,477.20/946,409.40 = 257,077.20/x
  3. Step 3: Cross multiply
    631,477.20x = 946,409.40 × 257,077.20
  4. Step 4: Simplify right side
    631,477.20x = 243,300,278,605.68
  5. Step 5: Solve for x
    x = 243,300,278,605.68/631,477.20
  6. Step 6: Final answer
    x = 385,287.51

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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.