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Finding the Fourth Proportional to 493,706.25, 740,561.81 and 119,729.25

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Solution

The fourth proportional to 493,706.25, 740,561.81 and 119,729.25 is: 179,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,706.25 : 740,561.81 = 119,729.25 : x
  2. Step 2: Convert to fraction form
    493,706.25/740,561.81 = 119,729.25/x
  3. Step 3: Cross multiply
    493,706.25x = 740,561.81 × 119,729.25
  4. Step 4: Simplify right side
    493,706.25x = 88,666,909,491.30
  5. Step 5: Solve for x
    x = 88,666,909,491.30/493,706.25
  6. Step 6: Final answer
    x = 179,594.46

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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.