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Finding the Fourth Proportional to 567,196.16, 782,695.51 and 325,498.64

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Solution

The fourth proportional to 567,196.16, 782,695.51 and 325,498.64 is: 449,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,196.16 : 782,695.51 = 325,498.64 : x
  2. Step 2: Convert to fraction form
    567,196.16/782,695.51 = 325,498.64/x
  3. Step 3: Cross multiply
    567,196.16x = 782,695.51 × 325,498.64
  4. Step 4: Simplify right side
    567,196.16x = 254,766,319,311.88
  5. Step 5: Solve for x
    x = 254,766,319,311.88/567,196.16
  6. Step 6: Final answer
    x = 449,167.92

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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.