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Finding the Fourth Proportional to 533,964.80, 799,780.80 and 414,700.40

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Solution

The fourth proportional to 533,964.80, 799,780.80 and 414,700.40 is: 621,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,964.80 : 799,780.80 = 414,700.40 : x
  2. Step 2: Convert to fraction form
    533,964.80/799,780.80 = 414,700.40/x
  3. Step 3: Cross multiply
    533,964.80x = 799,780.80 × 414,700.40
  4. Step 4: Simplify right side
    533,964.80x = 331,669,417,672.32
  5. Step 5: Solve for x
    x = 331,669,417,672.32/533,964.80
  6. Step 6: Final answer
    x = 621,144.72

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1.5x scale

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.