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Finding the Fourth Proportional to 424,563.84, 585,897.22 and 233,576.78

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Solution

The fourth proportional to 424,563.84, 585,897.22 and 233,576.78 is: 322,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,563.84 : 585,897.22 = 233,576.78 : x
  2. Step 2: Convert to fraction form
    424,563.84/585,897.22 = 233,576.78/x
  3. Step 3: Cross multiply
    424,563.84x = 585,897.22 × 233,576.78
  4. Step 4: Simplify right side
    424,563.84x = 136,851,986,058.55
  5. Step 5: Solve for x
    x = 136,851,986,058.55/424,563.84
  6. Step 6: Final answer
    x = 322,335.47

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1.5x scale

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.