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Finding the Fourth Proportional to 424,523.70, 585,830.45 and 233,537.14

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Solution

The fourth proportional to 424,523.70, 585,830.45 and 233,537.14 is: 322,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,523.70 : 585,830.45 = 233,537.14 : x
  2. Step 2: Convert to fraction form
    424,523.70/585,830.45 = 233,537.14/x
  3. Step 3: Cross multiply
    424,523.70x = 585,830.45 × 233,537.14
  4. Step 4: Simplify right side
    424,523.70x = 136,813,167,817.91
  5. Step 5: Solve for x
    x = 136,813,167,817.91/424,523.70
  6. Step 6: Final answer
    x = 322,274.51

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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.