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Finding the Fourth Proportional to 505,677.64, 697,856.35 and 290,817.87

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Solution

The fourth proportional to 505,677.64, 697,856.35 and 290,817.87 is: 401,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,677.64 : 697,856.35 = 290,817.87 : x
  2. Step 2: Convert to fraction form
    505,677.64/697,856.35 = 290,817.87/x
  3. Step 3: Cross multiply
    505,677.64x = 697,856.35 × 290,817.87
  4. Step 4: Simplify right side
    505,677.64x = 202,949,097,272.98
  5. Step 5: Solve for x
    x = 202,949,097,272.98/505,677.64
  6. Step 6: Final answer
    x = 401,340.86

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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.