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Finding the Fourth Proportional to 406,141.02, 608,652.63 and 345,857.58

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Solution

The fourth proportional to 406,141.02, 608,652.63 and 345,857.58 is: 518,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,141.02 : 608,652.63 = 345,857.58 : x
  2. Step 2: Convert to fraction form
    406,141.02/608,652.63 = 345,857.58/x
  3. Step 3: Cross multiply
    406,141.02x = 608,652.63 × 345,857.58
  4. Step 4: Simplify right side
    406,141.02x = 210,507,125,672.44
  5. Step 5: Solve for x
    x = 210,507,125,672.44/406,141.02
  6. Step 6: Final answer
    x = 518,310.43

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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.