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Finding the Fourth Proportional to 524,782.20, 785,423.70 and 461,796.60

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Solution

The fourth proportional to 524,782.20, 785,423.70 and 461,796.60 is: 691,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,782.20 : 785,423.70 = 461,796.60 : x
  2. Step 2: Convert to fraction form
    524,782.20/785,423.70 = 461,796.60/x
  3. Step 3: Cross multiply
    524,782.20x = 785,423.70 × 461,796.60
  4. Step 4: Simplify right side
    524,782.20x = 362,705,994,219.42
  5. Step 5: Solve for x
    x = 362,705,994,219.42/524,782.20
  6. Step 6: Final answer
    x = 691,155.29

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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.