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Finding the Fourth Proportional to 782,464.86, 1,079,896.86 and 460,159.38

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Solution

The fourth proportional to 782,464.86, 1,079,896.86 and 460,159.38 is: 635,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,464.86 : 1,079,896.86 = 460,159.38 : x
  2. Step 2: Convert to fraction form
    782,464.86/1,079,896.86 = 460,159.38/x
  3. Step 3: Cross multiply
    782,464.86x = 1,079,896.86 × 460,159.38
  4. Step 4: Simplify right side
    782,464.86x = 496,924,669,561.55
  5. Step 5: Solve for x
    x = 496,924,669,561.55/782,464.86
  6. Step 6: Final answer
    x = 635,076.02

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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.