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Finding the Fourth Proportional to 705,697.22, 973,647.66 and 399,724.98

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Solution

The fourth proportional to 705,697.22, 973,647.66 and 399,724.98 is: 551,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,697.22 : 973,647.66 = 399,724.98 : x
  2. Step 2: Convert to fraction form
    705,697.22/973,647.66 = 399,724.98/x
  3. Step 3: Cross multiply
    705,697.22x = 973,647.66 × 399,724.98
  4. Step 4: Simplify right side
    705,697.22x = 389,191,291,420.55
  5. Step 5: Solve for x
    x = 389,191,291,420.55/705,697.22
  6. Step 6: Final answer
    x = 551,498.97

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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.