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Finding the Fourth Proportional to 719,722, 993,303.84 and 417,916

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Solution

The fourth proportional to 719,722, 993,303.84 and 417,916 is: 576,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,722 : 993,303.84 = 417,916 : x
  2. Step 2: Convert to fraction form
    719,722/993,303.84 = 417,916/x
  3. Step 3: Cross multiply
    719,722x = 993,303.84 × 417,916
  4. Step 4: Simplify right side
    719,722x = 415,117,567,597.44
  5. Step 5: Solve for x
    x = 415,117,567,597.44/719,722
  6. Step 6: Final answer
    x = 576,774.88

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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.