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Finding the Fourth Proportional to 460,699.99, 691,084.97 and 156,999.76

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Solution

The fourth proportional to 460,699.99, 691,084.97 and 156,999.76 is: 235,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,699.99 : 691,084.97 = 156,999.76 : x
  2. Step 2: Convert to fraction form
    460,699.99/691,084.97 = 156,999.76/x
  3. Step 3: Cross multiply
    460,699.99x = 691,084.97 × 156,999.76
  4. Step 4: Simplify right side
    460,699.99x = 108,500,174,429.61
  5. Step 5: Solve for x
    x = 108,500,174,429.61/460,699.99
  6. Step 6: Final answer
    x = 235,511.56

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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.