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Finding the Fourth Proportional to 524,364.60, 785,147.22 and 461,379

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Solution

The fourth proportional to 524,364.60, 785,147.22 and 461,379 is: 690,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,364.60 : 785,147.22 = 461,379 : x
  2. Step 2: Convert to fraction form
    524,364.60/785,147.22 = 461,379/x
  3. Step 3: Cross multiply
    524,364.60x = 785,147.22 × 461,379
  4. Step 4: Simplify right side
    524,364.60x = 362,250,439,216.38
  5. Step 5: Solve for x
    x = 362,250,439,216.38/524,364.60
  6. Step 6: Final answer
    x = 690,836.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.