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Finding the Fourth Proportional to 463,816.32, 641,354.94 and 368,156.94

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Solution

The fourth proportional to 463,816.32, 641,354.94 and 368,156.94 is: 509,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,816.32 : 641,354.94 = 368,156.94 : x
  2. Step 2: Convert to fraction form
    463,816.32/641,354.94 = 368,156.94/x
  3. Step 3: Cross multiply
    463,816.32x = 641,354.94 × 368,156.94
  4. Step 4: Simplify right side
    463,816.32x = 236,119,272,164.28
  5. Step 5: Solve for x
    x = 236,119,272,164.28/463,816.32
  6. Step 6: Final answer
    x = 509,079.27

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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.