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Finding the Fourth Proportional to 465,596.40, 698,040.57 and 240,813.71

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Solution

The fourth proportional to 465,596.40, 698,040.57 and 240,813.71 is: 361,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,596.40 : 698,040.57 = 240,813.71 : x
  2. Step 2: Convert to fraction form
    465,596.40/698,040.57 = 240,813.71/x
  3. Step 3: Cross multiply
    465,596.40x = 698,040.57 × 240,813.71
  4. Step 4: Simplify right side
    465,596.40x = 168,097,735,902.01
  5. Step 5: Solve for x
    x = 168,097,735,902.01/465,596.40
  6. Step 6: Final answer
    x = 361,037.45

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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.