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Finding the Fourth Proportional to 384,054.40, 576,081.60 and 362,281.60

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Solution

The fourth proportional to 384,054.40, 576,081.60 and 362,281.60 is: 543,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,054.40 : 576,081.60 = 362,281.60 : x
  2. Step 2: Convert to fraction form
    384,054.40/576,081.60 = 362,281.60/x
  3. Step 3: Cross multiply
    384,054.40x = 576,081.60 × 362,281.60
  4. Step 4: Simplify right side
    384,054.40x = 208,703,763,778.56
  5. Step 5: Solve for x
    x = 208,703,763,778.56/384,054.40
  6. Step 6: Final answer
    x = 543,422.40

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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.