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Finding the Fourth Proportional to 505,234.50, 697,223.67 and 278,880.06

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Solution

The fourth proportional to 505,234.50, 697,223.67 and 278,880.06 is: 384,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,234.50 : 697,223.67 = 278,880.06 : x
  2. Step 2: Convert to fraction form
    505,234.50/697,223.67 = 278,880.06/x
  3. Step 3: Cross multiply
    505,234.50x = 697,223.67 × 278,880.06
  4. Step 4: Simplify right side
    505,234.50x = 194,441,778,923.02
  5. Step 5: Solve for x
    x = 194,441,778,923.02/505,234.50
  6. Step 6: Final answer
    x = 384,854.52

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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.