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Finding the Fourth Proportional to 512,368.29, 706,975.02 and 359,872.38

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Solution

The fourth proportional to 512,368.29, 706,975.02 and 359,872.38 is: 496,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,368.29 : 706,975.02 = 359,872.38 : x
  2. Step 2: Convert to fraction form
    512,368.29/706,975.02 = 359,872.38/x
  3. Step 3: Cross multiply
    512,368.29x = 706,975.02 × 359,872.38
  4. Step 4: Simplify right side
    512,368.29x = 254,420,783,047.95
  5. Step 5: Solve for x
    x = 254,420,783,047.95/512,368.29
  6. Step 6: Final answer
    x = 496,558.41

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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.