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Finding the Fourth Proportional to 424,311.53, 585,534.74 and 233,323.25

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Solution

The fourth proportional to 424,311.53, 585,534.74 and 233,323.25 is: 321,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,311.53 : 585,534.74 = 233,323.25 : x
  2. Step 2: Convert to fraction form
    424,311.53/585,534.74 = 233,323.25/x
  3. Step 3: Cross multiply
    424,311.53x = 585,534.74 × 233,323.25
  4. Step 4: Simplify right side
    424,311.53x = 136,618,864,430.42
  5. Step 5: Solve for x
    x = 136,618,864,430.42/424,311.53
  6. Step 6: Final answer
    x = 321,977.74

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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.