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Finding the Fourth Proportional to 505,214.75, 697,196.42 and 278,860.31

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Solution

The fourth proportional to 505,214.75, 697,196.42 and 278,860.31 is: 384,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,214.75 : 697,196.42 = 278,860.31 : x
  2. Step 2: Convert to fraction form
    505,214.75/697,196.42 = 278,860.31/x
  3. Step 3: Cross multiply
    505,214.75x = 697,196.42 × 278,860.31
  4. Step 4: Simplify right side
    505,214.75x = 194,420,409,812.09
  5. Step 5: Solve for x
    x = 194,420,409,812.09/505,214.75
  6. Step 6: Final answer
    x = 384,827.26

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1.5x scale

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.