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Finding the Fourth Proportional to 524,578.20, 785,117.70 and 461,592.60

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Solution

The fourth proportional to 524,578.20, 785,117.70 and 461,592.60 is: 690,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,578.20 : 785,117.70 = 461,592.60 : x
  2. Step 2: Convert to fraction form
    524,578.20/785,117.70 = 461,592.60/x
  3. Step 3: Cross multiply
    524,578.20x = 785,117.70 × 461,592.60
  4. Step 4: Simplify right side
    524,578.20x = 362,404,520,449.02
  5. Step 5: Solve for x
    x = 362,404,520,449.02/524,578.20
  6. Step 6: Final answer
    x = 690,849.37

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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.