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Finding the Fourth Proportional to 629,202.28, 942,870.12 and 462,173.80

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Solution

The fourth proportional to 629,202.28, 942,870.12 and 462,173.80 is: 692,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,202.28 : 942,870.12 = 462,173.80 : x
  2. Step 2: Convert to fraction form
    629,202.28/942,870.12 = 462,173.80/x
  3. Step 3: Cross multiply
    629,202.28x = 942,870.12 × 462,173.80
  4. Step 4: Simplify right side
    629,202.28x = 435,769,866,266.86
  5. Step 5: Solve for x
    x = 435,769,866,266.86/629,202.28
  6. Step 6: Final answer
    x = 692,575.15

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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.