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Finding the Fourth Proportional to 505,186.86, 697,153.41 and 278,827.50

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Solution

The fourth proportional to 505,186.86, 697,153.41 and 278,827.50 is: 384,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,186.86 : 697,153.41 = 278,827.50 : x
  2. Step 2: Convert to fraction form
    505,186.86/697,153.41 = 278,827.50/x
  3. Step 3: Cross multiply
    505,186.86x = 697,153.41 × 278,827.50
  4. Step 4: Simplify right side
    505,186.86x = 194,385,542,426.78
  5. Step 5: Solve for x
    x = 194,385,542,426.78/505,186.86
  6. Step 6: Final answer
    x = 384,779.49

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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.