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Finding the Fourth Proportional to 434,675.20, 652,012.80 and 410,180.80

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Solution

The fourth proportional to 434,675.20, 652,012.80 and 410,180.80 is: 615,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,675.20 : 652,012.80 = 410,180.80 : x
  2. Step 2: Convert to fraction form
    434,675.20/652,012.80 = 410,180.80/x
  3. Step 3: Cross multiply
    434,675.20x = 652,012.80 × 410,180.80
  4. Step 4: Simplify right side
    434,675.20x = 267,443,131,914.24
  5. Step 5: Solve for x
    x = 267,443,131,914.24/434,675.20
  6. Step 6: Final answer
    x = 615,271.20

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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.