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Finding the Fourth Proportional to 462,923.20, 694,384.80 and 384,191.20

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Solution

The fourth proportional to 462,923.20, 694,384.80 and 384,191.20 is: 576,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,923.20 : 694,384.80 = 384,191.20 : x
  2. Step 2: Convert to fraction form
    462,923.20/694,384.80 = 384,191.20/x
  3. Step 3: Cross multiply
    462,923.20x = 694,384.80 × 384,191.20
  4. Step 4: Simplify right side
    462,923.20x = 266,776,529,573.76
  5. Step 5: Solve for x
    x = 266,776,529,573.76/462,923.20
  6. Step 6: Final answer
    x = 576,286.80

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Similar ratio
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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.