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Finding the Fourth Proportional to 424,884.16, 586,361.28 and 233,895.52

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Solution

The fourth proportional to 424,884.16, 586,361.28 and 233,895.52 is: 322,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,884.16 : 586,361.28 = 233,895.52 : x
  2. Step 2: Convert to fraction form
    424,884.16/586,361.28 = 233,895.52/x
  3. Step 3: Cross multiply
    424,884.16x = 586,361.28 × 233,895.52
  4. Step 4: Simplify right side
    424,884.16x = 137,147,276,493.47
  5. Step 5: Solve for x
    x = 137,147,276,493.47/424,884.16
  6. Step 6: Final answer
    x = 322,787.45

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Why These Related Problems?

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