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Finding the Fourth Proportional to 517,912.43, 714,147.92 and 354,595.81

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Solution

The fourth proportional to 517,912.43, 714,147.92 and 354,595.81 is: 488,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,912.43 : 714,147.92 = 354,595.81 : x
  2. Step 2: Convert to fraction form
    517,912.43/714,147.92 = 354,595.81/x
  3. Step 3: Cross multiply
    517,912.43x = 714,147.92 × 354,595.81
  4. Step 4: Simplify right side
    517,912.43x = 253,233,860,152.22
  5. Step 5: Solve for x
    x = 253,233,860,152.22/517,912.43
  6. Step 6: Final answer
    x = 488,951.12

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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.