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Finding the Fourth Proportional to 705,449.32, 973,353.29 and 415,073.56

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Solution

The fourth proportional to 705,449.32, 973,353.29 and 415,073.56 is: 572,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,449.32 : 973,353.29 = 415,073.56 : x
  2. Step 2: Convert to fraction form
    705,449.32/973,353.29 = 415,073.56/x
  3. Step 3: Cross multiply
    705,449.32x = 973,353.29 × 415,073.56
  4. Step 4: Simplify right side
    705,449.32x = 404,013,214,180.33
  5. Step 5: Solve for x
    x = 404,013,214,180.33/705,449.32
  6. Step 6: Final answer
    x = 572,703.39

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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.