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Finding the Fourth Proportional to 424,313.64, 585,544.14 and 233,323.74

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Solution

The fourth proportional to 424,313.64, 585,544.14 and 233,323.74 is: 321,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,313.64 : 585,544.14 = 233,323.74 : x
  2. Step 2: Convert to fraction form
    424,313.64/585,544.14 = 233,323.74/x
  3. Step 3: Cross multiply
    424,313.64x = 585,544.14 × 233,323.74
  4. Step 4: Simplify right side
    424,313.64x = 136,621,348,679.88
  5. Step 5: Solve for x
    x = 136,621,348,679.88/424,313.64
  6. Step 6: Final answer
    x = 321,981.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.