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Finding the Fourth Proportional to 512,954, 707,913.16 and 283,506.35

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Solution

The fourth proportional to 512,954, 707,913.16 and 283,506.35 is: 391,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,954 : 707,913.16 = 283,506.35 : x
  2. Step 2: Convert to fraction form
    512,954/707,913.16 = 283,506.35/x
  3. Step 3: Cross multiply
    512,954x = 707,913.16 × 283,506.35
  4. Step 4: Simplify right side
    512,954x = 200,697,876,108.57
  5. Step 5: Solve for x
    x = 200,697,876,108.57/512,954
  6. Step 6: Final answer
    x = 391,259.01

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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.