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Finding the Fourth Proportional to 505,689.87, 697,872.20 and 290,829.81

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Solution

The fourth proportional to 505,689.87, 697,872.20 and 290,829.81 is: 401,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,689.87 : 697,872.20 = 290,829.81 : x
  2. Step 2: Convert to fraction form
    505,689.87/697,872.20 = 290,829.81/x
  3. Step 3: Cross multiply
    505,689.87x = 697,872.20 × 290,829.81
  4. Step 4: Simplify right side
    505,689.87x = 202,962,037,876.13
  5. Step 5: Solve for x
    x = 202,962,037,876.13/505,689.87
  6. Step 6: Final answer
    x = 401,356.74

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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.