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Finding the Fourth Proportional to 461,683.20, 692,524.80 and 212,851.20

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Solution

The fourth proportional to 461,683.20, 692,524.80 and 212,851.20 is: 319,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,683.20 : 692,524.80 = 212,851.20 : x
  2. Step 2: Convert to fraction form
    461,683.20/692,524.80 = 212,851.20/x
  3. Step 3: Cross multiply
    461,683.20x = 692,524.80 × 212,851.20
  4. Step 4: Simplify right side
    461,683.20x = 147,404,734,709.76
  5. Step 5: Solve for x
    x = 147,404,734,709.76/461,683.20
  6. Step 6: Final answer
    x = 319,276.80

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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.