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Finding the Fourth Proportional to 424,244.14, 585,457.72 and 233,257.58

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Solution

The fourth proportional to 424,244.14, 585,457.72 and 233,257.58 is: 321,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,244.14 : 585,457.72 = 233,257.58 : x
  2. Step 2: Convert to fraction form
    424,244.14/585,457.72 = 233,257.58/x
  3. Step 3: Cross multiply
    424,244.14x = 585,457.72 × 233,257.58
  4. Step 4: Simplify right side
    424,244.14x = 136,562,450,959.52
  5. Step 5: Solve for x
    x = 136,562,450,959.52/424,244.14
  6. Step 6: Final answer
    x = 321,895.90

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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.