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Finding the Fourth Proportional to 434,713.20, 652,069.80 and 418,966.80

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Solution

The fourth proportional to 434,713.20, 652,069.80 and 418,966.80 is: 628,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,713.20 : 652,069.80 = 418,966.80 : x
  2. Step 2: Convert to fraction form
    434,713.20/652,069.80 = 418,966.80/x
  3. Step 3: Cross multiply
    434,713.20x = 652,069.80 × 418,966.80
  4. Step 4: Simplify right side
    434,713.20x = 273,195,597,482.64
  5. Step 5: Solve for x
    x = 273,195,597,482.64/434,713.20
  6. Step 6: Final answer
    x = 628,450.20

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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.