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Finding the Fourth Proportional to 433,980, 650,944.08 and 134,461.44

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Solution

The fourth proportional to 433,980, 650,944.08 and 134,461.44 is: 201,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,980 : 650,944.08 = 134,461.44 : x
  2. Step 2: Convert to fraction form
    433,980/650,944.08 = 134,461.44/x
  3. Step 3: Cross multiply
    433,980x = 650,944.08 × 134,461.44
  4. Step 4: Simplify right side
    433,980x = 87,526,878,356.28
  5. Step 5: Solve for x
    x = 87,526,878,356.28/433,980
  6. Step 6: Final answer
    x = 201,684.13

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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.