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Finding the Fourth Proportional to 531,540.72, 733,703.94 and 316,748.16

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Solution

The fourth proportional to 531,540.72, 733,703.94 and 316,748.16 is: 437,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,540.72 : 733,703.94 = 316,748.16 : x
  2. Step 2: Convert to fraction form
    531,540.72/733,703.94 = 316,748.16/x
  3. Step 3: Cross multiply
    531,540.72x = 733,703.94 × 316,748.16
  4. Step 4: Simplify right side
    531,540.72x = 232,399,372,979.75
  5. Step 5: Solve for x
    x = 232,399,372,979.75/531,540.72
  6. Step 6: Final answer
    x = 437,218.38

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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.