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Finding the Fourth Proportional to 354,226.40, 488,818.24 and 193,078.08

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Solution

The fourth proportional to 354,226.40, 488,818.24 and 193,078.08 is: 266,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,226.40 : 488,818.24 = 193,078.08 : x
  2. Step 2: Convert to fraction form
    354,226.40/488,818.24 = 193,078.08/x
  3. Step 3: Cross multiply
    354,226.40x = 488,818.24 × 193,078.08
  4. Step 4: Simplify right side
    354,226.40x = 94,380,087,248.18
  5. Step 5: Solve for x
    x = 94,380,087,248.18/354,226.40
  6. Step 6: Final answer
    x = 266,440.01

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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.