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Finding the Fourth Proportional to 512,886.88, 707,779.92 and 283,459.60

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Solution

The fourth proportional to 512,886.88, 707,779.92 and 283,459.60 is: 391,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,886.88 : 707,779.92 = 283,459.60 : x
  2. Step 2: Convert to fraction form
    512,886.88/707,779.92 = 283,459.60/x
  3. Step 3: Cross multiply
    512,886.88x = 707,779.92 × 283,459.60
  4. Step 4: Simplify right side
    512,886.88x = 200,627,013,011.23
  5. Step 5: Solve for x
    x = 200,627,013,011.23/512,886.88
  6. Step 6: Final answer
    x = 391,172.05

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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.