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Finding the Fourth Proportional to 514,218.48, 769,771.02 and 466,833.48

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Solution

The fourth proportional to 514,218.48, 769,771.02 and 466,833.48 is: 698,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,218.48 : 769,771.02 = 466,833.48 : x
  2. Step 2: Convert to fraction form
    514,218.48/769,771.02 = 466,833.48/x
  3. Step 3: Cross multiply
    514,218.48x = 769,771.02 × 466,833.48
  4. Step 4: Simplify right side
    514,218.48x = 359,354,884,069.75
  5. Step 5: Solve for x
    x = 359,354,884,069.75/514,218.48
  6. Step 6: Final answer
    x = 698,836.97

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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.