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Finding the Fourth Proportional to 424,731, 586,128.84 and 233,744.40

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Solution

The fourth proportional to 424,731, 586,128.84 and 233,744.40 is: 322,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,731 : 586,128.84 = 233,744.40 : x
  2. Step 2: Convert to fraction form
    424,731/586,128.84 = 233,744.40/x
  3. Step 3: Cross multiply
    424,731x = 586,128.84 × 233,744.40
  4. Step 4: Simplify right side
    424,731x = 137,004,334,028.50
  5. Step 5: Solve for x
    x = 137,004,334,028.50/424,731
  6. Step 6: Final answer
    x = 322,567.31

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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.