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Finding the Fourth Proportional to 705,402.54, 972,892.62 and 463,933.17

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Solution

The fourth proportional to 705,402.54, 972,892.62 and 463,933.17 is: 639,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,402.54 : 972,892.62 = 463,933.17 : x
  2. Step 2: Convert to fraction form
    705,402.54/972,892.62 = 463,933.17/x
  3. Step 3: Cross multiply
    705,402.54x = 972,892.62 × 463,933.17
  4. Step 4: Simplify right side
    705,402.54x = 451,357,157,266.21
  5. Step 5: Solve for x
    x = 451,357,157,266.21/705,402.54
  6. Step 6: Final answer
    x = 639,857.57

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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.