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Finding the Fourth Proportional to 384,653.80, 576,980.70 and 100,343.80

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Solution

The fourth proportional to 384,653.80, 576,980.70 and 100,343.80 is: 150,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,653.80 : 576,980.70 = 100,343.80 : x
  2. Step 2: Convert to fraction form
    384,653.80/576,980.70 = 100,343.80/x
  3. Step 3: Cross multiply
    384,653.80x = 576,980.70 × 100,343.80
  4. Step 4: Simplify right side
    384,653.80x = 57,896,435,964.66
  5. Step 5: Solve for x
    x = 57,896,435,964.66/384,653.80
  6. Step 6: Final answer
    x = 150,515.70

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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.