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Finding the Fourth Proportional to 468,475.86, 702,418.55 and 397,423.42

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Solution

The fourth proportional to 468,475.86, 702,418.55 and 397,423.42 is: 595,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,475.86 : 702,418.55 = 397,423.42 : x
  2. Step 2: Convert to fraction form
    468,475.86/702,418.55 = 397,423.42/x
  3. Step 3: Cross multiply
    468,475.86x = 702,418.55 × 397,423.42
  4. Step 4: Simplify right side
    468,475.86x = 279,157,578,669.28
  5. Step 5: Solve for x
    x = 279,157,578,669.28/468,475.86
  6. Step 6: Final answer
    x = 595,884.66

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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.