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Finding the Fourth Proportional to 731,797, 1,009,734.87 and 409,444.54

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Solution

The fourth proportional to 731,797, 1,009,734.87 and 409,444.54 is: 564,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,797 : 1,009,734.87 = 409,444.54 : x
  2. Step 2: Convert to fraction form
    731,797/1,009,734.87 = 409,444.54/x
  3. Step 3: Cross multiply
    731,797x = 1,009,734.87 × 409,444.54
  4. Step 4: Simplify right side
    731,797x = 413,430,429,369.11
  5. Step 5: Solve for x
    x = 413,430,429,369.11/731,797
  6. Step 6: Final answer
    x = 564,952.34

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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.