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Finding the Fourth Proportional to 424,194.75, 585,392.72 and 233,209.50

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Solution

The fourth proportional to 424,194.75, 585,392.72 and 233,209.50 is: 321,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,194.75 : 585,392.72 = 233,209.50 : x
  2. Step 2: Convert to fraction form
    424,194.75/585,392.72 = 233,209.50/x
  3. Step 3: Cross multiply
    424,194.75x = 585,392.72 × 233,209.50
  4. Step 4: Simplify right side
    424,194.75x = 136,519,142,368.79
  5. Step 5: Solve for x
    x = 136,519,142,368.79/424,194.75
  6. Step 6: Final answer
    x = 321,831.29

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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.