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Finding the Fourth Proportional to 585,510.34, 807,966.85 and 327,408.57

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Solution

The fourth proportional to 585,510.34, 807,966.85 and 327,408.57 is: 451,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,510.34 : 807,966.85 = 327,408.57 : x
  2. Step 2: Convert to fraction form
    585,510.34/807,966.85 = 327,408.57/x
  3. Step 3: Cross multiply
    585,510.34x = 807,966.85 × 327,408.57
  4. Step 4: Simplify right side
    585,510.34x = 264,535,270,965.91
  5. Step 5: Solve for x
    x = 264,535,270,965.91/585,510.34
  6. Step 6: Final answer
    x = 451,802.90

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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.