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Finding the Fourth Proportional to 469,853, 648,935.34 and 309,425.12

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Solution

The fourth proportional to 469,853, 648,935.34 and 309,425.12 is: 427,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,853 : 648,935.34 = 309,425.12 : x
  2. Step 2: Convert to fraction form
    469,853/648,935.34 = 309,425.12/x
  3. Step 3: Cross multiply
    469,853x = 648,935.34 × 309,425.12
  4. Step 4: Simplify right side
    469,853x = 200,796,895,451.74
  5. Step 5: Solve for x
    x = 200,796,895,451.74/469,853
  6. Step 6: Final answer
    x = 427,361.10

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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.