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Finding the Fourth Proportional to 505,206.40, 697,184.40 and 278,851.36

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Solution

The fourth proportional to 505,206.40, 697,184.40 and 278,851.36 is: 384,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,206.40 : 697,184.40 = 278,851.36 : x
  2. Step 2: Convert to fraction form
    505,206.40/697,184.40 = 278,851.36/x
  3. Step 3: Cross multiply
    505,206.40x = 697,184.40 × 278,851.36
  4. Step 4: Simplify right side
    505,206.40x = 194,410,818,110.78
  5. Step 5: Solve for x
    x = 194,410,818,110.78/505,206.40
  6. Step 6: Final answer
    x = 384,814.64

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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.