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Finding the Fourth Proportional to 705,662.48, 973,899.24 and 403,850

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Solution

The fourth proportional to 705,662.48, 973,899.24 and 403,850 is: 557,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,662.48 : 973,899.24 = 403,850 : x
  2. Step 2: Convert to fraction form
    705,662.48/973,899.24 = 403,850/x
  3. Step 3: Cross multiply
    705,662.48x = 973,899.24 × 403,850
  4. Step 4: Simplify right side
    705,662.48x = 393,309,208,074
  5. Step 5: Solve for x
    x = 393,309,208,074/705,662.48
  6. Step 6: Final answer
    x = 557,361.66

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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.