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Finding the Fourth Proportional to 354,173.14, 488,755.86 and 193,028.16

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Solution

The fourth proportional to 354,173.14, 488,755.86 and 193,028.16 is: 266,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,173.14 : 488,755.86 = 193,028.16 : x
  2. Step 2: Convert to fraction form
    354,173.14/488,755.86 = 193,028.16/x
  3. Step 3: Cross multiply
    354,173.14x = 488,755.86 × 193,028.16
  4. Step 4: Simplify right side
    354,173.14x = 94,343,645,454.00
  5. Step 5: Solve for x
    x = 94,343,645,454.00/354,173.14
  6. Step 6: Final answer
    x = 266,377.19

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1.5x scale

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.