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Finding the Fourth Proportional to 354,135.76, 488,689.94 and 192,990.32

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Solution

The fourth proportional to 354,135.76, 488,689.94 and 192,990.32 is: 266,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,135.76 : 488,689.94 = 192,990.32 : x
  2. Step 2: Convert to fraction form
    354,135.76/488,689.94 = 192,990.32/x
  3. Step 3: Cross multiply
    354,135.76x = 488,689.94 × 192,990.32
  4. Step 4: Simplify right side
    354,135.76x = 94,312,427,901.38
  5. Step 5: Solve for x
    x = 94,312,427,901.38/354,135.76
  6. Step 6: Final answer
    x = 266,317.15

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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.