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Finding the Fourth Proportional to 410,136.80, 615,205.20 and 410,136.80

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Solution

The fourth proportional to 410,136.80, 615,205.20 and 410,136.80 is: 615,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,136.80 : 615,205.20 = 410,136.80 : x
  2. Step 2: Convert to fraction form
    410,136.80/615,205.20 = 410,136.80/x
  3. Step 3: Cross multiply
    410,136.80x = 615,205.20 × 410,136.80
  4. Step 4: Simplify right side
    410,136.80x = 252,318,292,071.36
  5. Step 5: Solve for x
    x = 252,318,292,071.36/410,136.80
  6. Step 6: Final answer
    x = 615,205.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.