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Finding the Fourth Proportional to 433,345.60, 650,032.62 and 149,033.32

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Solution

The fourth proportional to 433,345.60, 650,032.62 and 149,033.32 is: 223,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,345.60 : 650,032.62 = 149,033.32 : x
  2. Step 2: Convert to fraction form
    433,345.60/650,032.62 = 149,033.32/x
  3. Step 3: Cross multiply
    433,345.60x = 650,032.62 × 149,033.32
  4. Step 4: Simplify right side
    433,345.60x = 96,876,519,466.90
  5. Step 5: Solve for x
    x = 96,876,519,466.90/433,345.60
  6. Step 6: Final answer
    x = 223,554.87

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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.