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Finding the Fourth Proportional to 442,938.30, 664,407.45 and 309,968.70

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Solution

The fourth proportional to 442,938.30, 664,407.45 and 309,968.70 is: 464,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,938.30 : 664,407.45 = 309,968.70 : x
  2. Step 2: Convert to fraction form
    442,938.30/664,407.45 = 309,968.70/x
  3. Step 3: Cross multiply
    442,938.30x = 664,407.45 × 309,968.70
  4. Step 4: Simplify right side
    442,938.30x = 205,945,513,546.82
  5. Step 5: Solve for x
    x = 205,945,513,546.82/442,938.30
  6. Step 6: Final answer
    x = 464,953.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.