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Finding the Fourth Proportional to 397,925.88, 596,513.62 and 198,057.32

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Solution

The fourth proportional to 397,925.88, 596,513.62 and 198,057.32 is: 296,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,925.88 : 596,513.62 = 198,057.32 : x
  2. Step 2: Convert to fraction form
    397,925.88/596,513.62 = 198,057.32/x
  3. Step 3: Cross multiply
    397,925.88x = 596,513.62 × 198,057.32
  4. Step 4: Simplify right side
    397,925.88x = 118,143,887,930.41
  5. Step 5: Solve for x
    x = 118,143,887,930.41/397,925.88
  6. Step 6: Final answer
    x = 296,899.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.