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Finding the Fourth Proportional to 384,544.80, 576,809.61 and 114,855.59

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Solution

The fourth proportional to 384,544.80, 576,809.61 and 114,855.59 is: 172,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,544.80 : 576,809.61 = 114,855.59 : x
  2. Step 2: Convert to fraction form
    384,544.80/576,809.61 = 114,855.59/x
  3. Step 3: Cross multiply
    384,544.80x = 576,809.61 × 114,855.59
  4. Step 4: Simplify right side
    384,544.80x = 66,249,805,840.98
  5. Step 5: Solve for x
    x = 66,249,805,840.98/384,544.80
  6. Step 6: Final answer
    x = 172,281.11

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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.