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Finding the Fourth Proportional to 424,002.76, 585,134.58 and 233,021

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Solution

The fourth proportional to 424,002.76, 585,134.58 and 233,021 is: 321,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,002.76 : 585,134.58 = 233,021 : x
  2. Step 2: Convert to fraction form
    424,002.76/585,134.58 = 233,021/x
  3. Step 3: Cross multiply
    424,002.76x = 585,134.58 × 233,021
  4. Step 4: Simplify right side
    424,002.76x = 136,348,644,966.18
  5. Step 5: Solve for x
    x = 136,348,644,966.18/424,002.76
  6. Step 6: Final answer
    x = 321,574.90

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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.