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Finding the Fourth Proportional to 461,346.60, 692,538.30 and 356,629.80

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Solution

The fourth proportional to 461,346.60, 692,538.30 and 356,629.80 is: 535,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,346.60 : 692,538.30 = 356,629.80 : x
  2. Step 2: Convert to fraction form
    461,346.60/692,538.30 = 356,629.80/x
  3. Step 3: Cross multiply
    461,346.60x = 692,538.30 × 356,629.80
  4. Step 4: Simplify right side
    461,346.60x = 246,979,795,421.34
  5. Step 5: Solve for x
    x = 246,979,795,421.34/461,346.60
  6. Step 6: Final answer
    x = 535,345.43

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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.