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Finding the Fourth Proportional to 505,178.88, 697,097.22 and 278,809.80

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Solution

The fourth proportional to 505,178.88, 697,097.22 and 278,809.80 is: 384,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,178.88 : 697,097.22 = 278,809.80 : x
  2. Step 2: Convert to fraction form
    505,178.88/697,097.22 = 278,809.80/x
  3. Step 3: Cross multiply
    505,178.88x = 697,097.22 × 278,809.80
  4. Step 4: Simplify right side
    505,178.88x = 194,357,536,488.76
  5. Step 5: Solve for x
    x = 194,357,536,488.76/505,178.88
  6. Step 6: Final answer
    x = 384,730.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.