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Finding the Fourth Proportional to 368,125.94, 507,891.64 and 300,025.87

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Solution

The fourth proportional to 368,125.94, 507,891.64 and 300,025.87 is: 413,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,125.94 : 507,891.64 = 300,025.87 : x
  2. Step 2: Convert to fraction form
    368,125.94/507,891.64 = 300,025.87/x
  3. Step 3: Cross multiply
    368,125.94x = 507,891.64 × 300,025.87
  4. Step 4: Simplify right side
    368,125.94x = 152,380,633,400.19
  5. Step 5: Solve for x
    x = 152,380,633,400.19/368,125.94
  6. Step 6: Final answer
    x = 413,936.15

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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.