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Finding the Fourth Proportional to 424,194.25, 585,392.03 and 233,209

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Solution

The fourth proportional to 424,194.25, 585,392.03 and 233,209 is: 321,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,194.25 : 585,392.03 = 233,209 : x
  2. Step 2: Convert to fraction form
    424,194.25/585,392.03 = 233,209/x
  3. Step 3: Cross multiply
    424,194.25x = 585,392.03 × 233,209
  4. Step 4: Simplify right side
    424,194.25x = 136,518,688,758.23
  5. Step 5: Solve for x
    x = 136,518,688,758.23/424,194.25
  6. Step 6: Final answer
    x = 321,830.60

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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.