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Finding the Fourth Proportional to 447,712.82, 617,812.46 and 254,124.50

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Solution

The fourth proportional to 447,712.82, 617,812.46 and 254,124.50 is: 350,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,712.82 : 617,812.46 = 254,124.50 : x
  2. Step 2: Convert to fraction form
    447,712.82/617,812.46 = 254,124.50/x
  3. Step 3: Cross multiply
    447,712.82x = 617,812.46 × 254,124.50
  4. Step 4: Simplify right side
    447,712.82x = 157,001,282,491.27
  5. Step 5: Solve for x
    x = 157,001,282,491.27/447,712.82
  6. Step 6: Final answer
    x = 350,674.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.