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Finding the Fourth Proportional to 507,692.34, 761,576.76 and 170,733.96

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Solution

The fourth proportional to 507,692.34, 761,576.76 and 170,733.96 is: 256,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,692.34 : 761,576.76 = 170,733.96 : x
  2. Step 2: Convert to fraction form
    507,692.34/761,576.76 = 170,733.96/x
  3. Step 3: Cross multiply
    507,692.34x = 761,576.76 × 170,733.96
  4. Step 4: Simplify right side
    507,692.34x = 130,027,016,078.77
  5. Step 5: Solve for x
    x = 130,027,016,078.77/507,692.34
  6. Step 6: Final answer
    x = 256,113.80

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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.