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Finding the Fourth Proportional to 292,546.84, 403,744.44 and 210,942.22

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Solution

The fourth proportional to 292,546.84, 403,744.44 and 210,942.22 is: 291,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546.84 : 403,744.44 = 210,942.22 : x
  2. Step 2: Convert to fraction form
    292,546.84/403,744.44 = 210,942.22/x
  3. Step 3: Cross multiply
    292,546.84x = 403,744.44 × 210,942.22
  4. Step 4: Simplify right side
    292,546.84x = 85,166,748,486.26
  5. Step 5: Solve for x
    x = 85,166,748,486.26/292,546.84
  6. Step 6: Final answer
    x = 291,121.75

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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.