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Finding the Fourth Proportional to 384,437.40, 576,656.10 and 362,664.60

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Solution

The fourth proportional to 384,437.40, 576,656.10 and 362,664.60 is: 543,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,437.40 : 576,656.10 = 362,664.60 : x
  2. Step 2: Convert to fraction form
    384,437.40/576,656.10 = 362,664.60/x
  3. Step 3: Cross multiply
    384,437.40x = 576,656.10 × 362,664.60
  4. Step 4: Simplify right side
    384,437.40x = 209,132,753,844.06
  5. Step 5: Solve for x
    x = 209,132,753,844.06/384,437.40
  6. Step 6: Final answer
    x = 543,996.90

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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.