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Finding the Fourth Proportional to 562,176.71, 775,278.09 and 447,835.49

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Solution

The fourth proportional to 562,176.71, 775,278.09 and 447,835.49 is: 617,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,176.71 : 775,278.09 = 447,835.49 : x
  2. Step 2: Convert to fraction form
    562,176.71/775,278.09 = 447,835.49/x
  3. Step 3: Cross multiply
    562,176.71x = 775,278.09 × 447,835.49
  4. Step 4: Simplify right side
    562,176.71x = 347,197,043,321.41
  5. Step 5: Solve for x
    x = 347,197,043,321.41/562,176.71
  6. Step 6: Final answer
    x = 617,594.14

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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.