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Finding the Fourth Proportional to 705,899.76, 973,984.32 and 399,949.44

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Solution

The fourth proportional to 705,899.76, 973,984.32 and 399,949.44 is: 551,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,899.76 : 973,984.32 = 399,949.44 : x
  2. Step 2: Convert to fraction form
    705,899.76/973,984.32 = 399,949.44/x
  3. Step 3: Cross multiply
    705,899.76x = 973,984.32 × 399,949.44
  4. Step 4: Simplify right side
    705,899.76x = 389,544,483,352.78
  5. Step 5: Solve for x
    x = 389,544,483,352.78/705,899.76
  6. Step 6: Final answer
    x = 551,841.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.