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Finding the Fourth Proportional to 424,210.28, 585,414.12 and 233,225

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Solution

The fourth proportional to 424,210.28, 585,414.12 and 233,225 is: 321,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,210.28 : 585,414.12 = 233,225 : x
  2. Step 2: Convert to fraction form
    424,210.28/585,414.12 = 233,225/x
  3. Step 3: Cross multiply
    424,210.28x = 585,414.12 × 233,225
  4. Step 4: Simplify right side
    424,210.28x = 136,533,208,137
  5. Step 5: Solve for x
    x = 136,533,208,137/424,210.28
  6. Step 6: Final answer
    x = 321,852.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.