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Finding the Fourth Proportional to 567,772.42, 851,801.84 and 188,695.14

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Solution

The fourth proportional to 567,772.42, 851,801.84 and 188,695.14 is: 283,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,772.42 : 851,801.84 = 188,695.14 : x
  2. Step 2: Convert to fraction form
    567,772.42/851,801.84 = 188,695.14/x
  3. Step 3: Cross multiply
    567,772.42x = 851,801.84 × 188,695.14
  4. Step 4: Simplify right side
    567,772.42x = 160,730,867,451.06
  5. Step 5: Solve for x
    x = 160,730,867,451.06/567,772.42
  6. Step 6: Final answer
    x = 283,090.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.