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Finding the Fourth Proportional to 354,199.22, 488,795.29 and 193,054.40

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Solution

The fourth proportional to 354,199.22, 488,795.29 and 193,054.40 is: 266,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,199.22 : 488,795.29 = 193,054.40 : x
  2. Step 2: Convert to fraction form
    354,199.22/488,795.29 = 193,054.40/x
  3. Step 3: Cross multiply
    354,199.22x = 488,795.29 × 193,054.40
  4. Step 4: Simplify right side
    354,199.22x = 94,364,078,507.16
  5. Step 5: Solve for x
    x = 94,364,078,507.16/354,199.22
  6. Step 6: Final answer
    x = 266,415.27

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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.