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Finding the Fourth Proportional to 478,266.25, 659,958.58 and 294,475.63

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Solution

The fourth proportional to 478,266.25, 659,958.58 and 294,475.63 is: 406,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,266.25 : 659,958.58 = 294,475.63 : x
  2. Step 2: Convert to fraction form
    478,266.25/659,958.58 = 294,475.63/x
  3. Step 3: Cross multiply
    478,266.25x = 659,958.58 × 294,475.63
  4. Step 4: Simplify right side
    478,266.25x = 194,341,713,847.23
  5. Step 5: Solve for x
    x = 194,341,713,847.23/478,266.25
  6. Step 6: Final answer
    x = 406,346.29

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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.