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Finding the Fourth Proportional to 311,830.15, 430,326.66 and 168,591.22

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Solution

The fourth proportional to 311,830.15, 430,326.66 and 168,591.22 is: 232,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,830.15 : 430,326.66 = 168,591.22 : x
  2. Step 2: Convert to fraction form
    311,830.15/430,326.66 = 168,591.22/x
  3. Step 3: Cross multiply
    311,830.15x = 430,326.66 × 168,591.22
  4. Step 4: Simplify right side
    311,830.15x = 72,549,296,607.93
  5. Step 5: Solve for x
    x = 72,549,296,607.93/311,830.15
  6. Step 6: Final answer
    x = 232,656.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.