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Finding the Fourth Proportional to 298,415.93, 447,628.55 and 166,136.94

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Solution

The fourth proportional to 298,415.93, 447,628.55 and 166,136.94 is: 249,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,415.93 : 447,628.55 = 166,136.94 : x
  2. Step 2: Convert to fraction form
    298,415.93/447,628.55 = 166,136.94/x
  3. Step 3: Cross multiply
    298,415.93x = 447,628.55 × 166,136.94
  4. Step 4: Simplify right side
    298,415.93x = 74,367,636,722.95
  5. Step 5: Solve for x
    x = 74,367,636,722.95/298,415.93
  6. Step 6: Final answer
    x = 249,208.00

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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.