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Finding the Fourth Proportional to 354,175.14, 488,758.62 and 193,030.16

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Solution

The fourth proportional to 354,175.14, 488,758.62 and 193,030.16 is: 266,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,175.14 : 488,758.62 = 193,030.16 : x
  2. Step 2: Convert to fraction form
    354,175.14/488,758.62 = 193,030.16/x
  3. Step 3: Cross multiply
    354,175.14x = 488,758.62 × 193,030.16
  4. Step 4: Simplify right side
    354,175.14x = 94,345,154,619.98
  5. Step 5: Solve for x
    x = 94,345,154,619.98/354,175.14
  6. Step 6: Final answer
    x = 266,379.95

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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.