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Finding the Fourth Proportional to 308,069.96, 462,169.76 and 175,011.80

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Solution

The fourth proportional to 308,069.96, 462,169.76 and 175,011.80 is: 262,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,069.96 : 462,169.76 = 175,011.80 : x
  2. Step 2: Convert to fraction form
    308,069.96/462,169.76 = 175,011.80/x
  3. Step 3: Cross multiply
    308,069.96x = 462,169.76 × 175,011.80
  4. Step 4: Simplify right side
    308,069.96x = 80,885,161,603.17
  5. Step 5: Solve for x
    x = 80,885,161,603.17/308,069.96
  6. Step 6: Final answer
    x = 262,554.52

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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.