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Finding the Fourth Proportional to 354,209.16, 488,794.32 and 193,060.74

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Solution

The fourth proportional to 354,209.16, 488,794.32 and 193,060.74 is: 266,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,209.16 : 488,794.32 = 193,060.74 : x
  2. Step 2: Convert to fraction form
    354,209.16/488,794.32 = 193,060.74/x
  3. Step 3: Cross multiply
    354,209.16x = 488,794.32 × 193,060.74
  4. Step 4: Simplify right side
    354,209.16x = 94,366,993,127.00
  5. Step 5: Solve for x
    x = 94,366,993,127.00/354,209.16
  6. Step 6: Final answer
    x = 266,416.02

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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.