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Finding the Fourth Proportional to 505,678.64, 697,857.72 and 290,818.88

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Solution

The fourth proportional to 505,678.64, 697,857.72 and 290,818.88 is: 401,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,678.64 : 697,857.72 = 290,818.88 : x
  2. Step 2: Convert to fraction form
    505,678.64/697,857.72 = 290,818.88/x
  3. Step 3: Cross multiply
    505,678.64x = 697,857.72 × 290,818.88
  4. Step 4: Simplify right side
    505,678.64x = 202,950,200,529.75
  5. Step 5: Solve for x
    x = 202,950,200,529.75/505,678.64
  6. Step 6: Final answer
    x = 401,342.24

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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.