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Finding the Fourth Proportional to 292,407.42, 438,626.79 and 92,742.96

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Solution

The fourth proportional to 292,407.42, 438,626.79 and 92,742.96 is: 139,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,407.42 : 438,626.79 = 92,742.96 : x
  2. Step 2: Convert to fraction form
    292,407.42/438,626.79 = 92,742.96/x
  3. Step 3: Cross multiply
    292,407.42x = 438,626.79 × 92,742.96
  4. Step 4: Simplify right side
    292,407.42x = 40,679,546,839.90
  5. Step 5: Solve for x
    x = 40,679,546,839.90/292,407.42
  6. Step 6: Final answer
    x = 139,119.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.