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Finding the Fourth Proportional to 567,430.46, 851,174.86 and 146,709.98

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Solution

The fourth proportional to 567,430.46, 851,174.86 and 146,709.98 is: 220,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,430.46 : 851,174.86 = 146,709.98 : x
  2. Step 2: Convert to fraction form
    567,430.46/851,174.86 = 146,709.98/x
  3. Step 3: Cross multiply
    567,430.46x = 851,174.86 × 146,709.98
  4. Step 4: Simplify right side
    567,430.46x = 124,875,846,687.10
  5. Step 5: Solve for x
    x = 124,875,846,687.10/567,430.46
  6. Step 6: Final answer
    x = 220,072.51

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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.