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Finding the Fourth Proportional to 469,850, 648,931.20 and 309,422.12

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Solution

The fourth proportional to 469,850, 648,931.20 and 309,422.12 is: 427,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,850 : 648,931.20 = 309,422.12 : x
  2. Step 2: Convert to fraction form
    469,850/648,931.20 = 309,422.12/x
  3. Step 3: Cross multiply
    469,850x = 648,931.20 × 309,422.12
  4. Step 4: Simplify right side
    469,850x = 200,793,667,638.14
  5. Step 5: Solve for x
    x = 200,793,667,638.14/469,850
  6. Step 6: Final answer
    x = 427,356.96

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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.