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Finding the Fourth Proportional to 507,530, 761,266.20 and 152,536.88

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Solution

The fourth proportional to 507,530, 761,266.20 and 152,536.88 is: 228,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,530 : 761,266.20 = 152,536.88 : x
  2. Step 2: Convert to fraction form
    507,530/761,266.20 = 152,536.88/x
  3. Step 3: Cross multiply
    507,530x = 761,266.20 × 152,536.88
  4. Step 4: Simplify right side
    507,530x = 116,121,170,997.46
  5. Step 5: Solve for x
    x = 116,121,170,997.46/507,530
  6. Step 6: Final answer
    x = 228,796.66

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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.