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Finding the Fourth Proportional to 574,617.24, 792,612.54 and 413,216.64

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Solution

The fourth proportional to 574,617.24, 792,612.54 and 413,216.64 is: 569,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,617.24 : 792,612.54 = 413,216.64 : x
  2. Step 2: Convert to fraction form
    574,617.24/792,612.54 = 413,216.64/x
  3. Step 3: Cross multiply
    574,617.24x = 792,612.54 × 413,216.64
  4. Step 4: Simplify right side
    574,617.24x = 327,520,690,600.67
  5. Step 5: Solve for x
    x = 327,520,690,600.67/574,617.24
  6. Step 6: Final answer
    x = 569,980.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.