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Finding the Fourth Proportional to 424,005.84, 585,139.14 and 233,024.24

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Solution

The fourth proportional to 424,005.84, 585,139.14 and 233,024.24 is: 321,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,005.84 : 585,139.14 = 233,024.24 : x
  2. Step 2: Convert to fraction form
    424,005.84/585,139.14 = 233,024.24/x
  3. Step 3: Cross multiply
    424,005.84x = 585,139.14 × 233,024.24
  4. Step 4: Simplify right side
    424,005.84x = 136,351,604,855.60
  5. Step 5: Solve for x
    x = 136,351,604,855.60/424,005.84
  6. Step 6: Final answer
    x = 321,579.54

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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.