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Finding the Fourth Proportional to 705,292.14, 973,967.42 and 491,018.10

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Solution

The fourth proportional to 705,292.14, 973,967.42 and 491,018.10 is: 678,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,292.14 : 973,967.42 = 491,018.10 : x
  2. Step 2: Convert to fraction form
    705,292.14/973,967.42 = 491,018.10/x
  3. Step 3: Cross multiply
    705,292.14x = 973,967.42 × 491,018.10
  4. Step 4: Simplify right side
    705,292.14x = 478,235,632,030.30
  5. Step 5: Solve for x
    x = 478,235,632,030.30/705,292.14
  6. Step 6: Final answer
    x = 678,067.43

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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.