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Finding the Fourth Proportional to 591,348, 816,060.24 and 323,076

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Solution

The fourth proportional to 591,348, 816,060.24 and 323,076 is: 445,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,348 : 816,060.24 = 323,076 : x
  2. Step 2: Convert to fraction form
    591,348/816,060.24 = 323,076/x
  3. Step 3: Cross multiply
    591,348x = 816,060.24 × 323,076
  4. Step 4: Simplify right side
    591,348x = 263,649,478,098.24
  5. Step 5: Solve for x
    x = 263,649,478,098.24/591,348
  6. Step 6: Final answer
    x = 445,844.88

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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.