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Finding the Fourth Proportional to 505,354.14, 697,386.78 and 278,998.02

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Solution

The fourth proportional to 505,354.14, 697,386.78 and 278,998.02 is: 385,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,354.14 : 697,386.78 = 278,998.02 : x
  2. Step 2: Convert to fraction form
    505,354.14/697,386.78 = 278,998.02/x
  3. Step 3: Cross multiply
    505,354.14x = 697,386.78 × 278,998.02
  4. Step 4: Simplify right side
    505,354.14x = 194,569,530,794.18
  5. Step 5: Solve for x
    x = 194,569,530,794.18/505,354.14
  6. Step 6: Final answer
    x = 385,016.20

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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.