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Finding the Fourth Proportional to 512,578, 707,354.82 and 283,151.07

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Solution

The fourth proportional to 512,578, 707,354.82 and 283,151.07 is: 390,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,578 : 707,354.82 = 283,151.07 : x
  2. Step 2: Convert to fraction form
    512,578/707,354.82 = 283,151.07/x
  3. Step 3: Cross multiply
    512,578x = 707,354.82 × 283,151.07
  4. Step 4: Simplify right side
    512,578x = 200,288,274,152.66
  5. Step 5: Solve for x
    x = 200,288,274,152.66/512,578
  6. Step 6: Final answer
    x = 390,746.92

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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.