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Finding the Fourth Proportional to 585,920.20, 808,591.64 and 331,256.20

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Solution

The fourth proportional to 585,920.20, 808,591.64 and 331,256.20 is: 457,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,920.20 : 808,591.64 = 331,256.20 : x
  2. Step 2: Convert to fraction form
    585,920.20/808,591.64 = 331,256.20/x
  3. Step 3: Cross multiply
    585,920.20x = 808,591.64 × 331,256.20
  4. Step 4: Simplify right side
    585,920.20x = 267,850,994,018.17
  5. Step 5: Solve for x
    x = 267,850,994,018.17/585,920.20
  6. Step 6: Final answer
    x = 457,145.86

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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.