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Finding the Fourth Proportional to 463,677.60, 693,572.40 and 416,632.80

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Solution

The fourth proportional to 463,677.60, 693,572.40 and 416,632.80 is: 623,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,677.60 : 693,572.40 = 416,632.80 : x
  2. Step 2: Convert to fraction form
    463,677.60/693,572.40 = 416,632.80/x
  3. Step 3: Cross multiply
    463,677.60x = 693,572.40 × 416,632.80
  4. Step 4: Simplify right side
    463,677.60x = 288,965,011,014.72
  5. Step 5: Solve for x
    x = 288,965,011,014.72/463,677.60
  6. Step 6: Final answer
    x = 623,202.44

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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.