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Finding the Fourth Proportional to 570,422, 787,389.72 and 331,958

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Solution

The fourth proportional to 570,422, 787,389.72 and 331,958 is: 458,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,422 : 787,389.72 = 331,958 : x
  2. Step 2: Convert to fraction form
    570,422/787,389.72 = 331,958/x
  3. Step 3: Cross multiply
    570,422x = 787,389.72 × 331,958
  4. Step 4: Simplify right side
    570,422x = 261,380,316,671.76
  5. Step 5: Solve for x
    x = 261,380,316,671.76/570,422
  6. Step 6: Final answer
    x = 458,222.71

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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.