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Finding the Fourth Proportional to 384,052.20, 576,078.30 and 362,279.40

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Solution

The fourth proportional to 384,052.20, 576,078.30 and 362,279.40 is: 543,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,052.20 : 576,078.30 = 362,279.40 : x
  2. Step 2: Convert to fraction form
    384,052.20/576,078.30 = 362,279.40/x
  3. Step 3: Cross multiply
    384,052.20x = 576,078.30 × 362,279.40
  4. Step 4: Simplify right side
    384,052.20x = 208,701,300,877.02
  5. Step 5: Solve for x
    x = 208,701,300,877.02/384,052.20
  6. Step 6: Final answer
    x = 543,419.10

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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.