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Finding the Fourth Proportional to 334,114.43, 460,631.85 and 265,431.78

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Solution

The fourth proportional to 334,114.43, 460,631.85 and 265,431.78 is: 365,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,114.43 : 460,631.85 = 265,431.78 : x
  2. Step 2: Convert to fraction form
    334,114.43/460,631.85 = 265,431.78/x
  3. Step 3: Cross multiply
    334,114.43x = 460,631.85 × 265,431.78
  4. Step 4: Simplify right side
    334,114.43x = 122,266,331,870.19
  5. Step 5: Solve for x
    x = 122,266,331,870.19/334,114.43
  6. Step 6: Final answer
    x = 365,941.49

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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.