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Finding the Fourth Proportional to 436,610, 654,915.32 and 174,138.32

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Solution

The fourth proportional to 436,610, 654,915.32 and 174,138.32 is: 261,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,610 : 654,915.32 = 174,138.32 : x
  2. Step 2: Convert to fraction form
    436,610/654,915.32 = 174,138.32/x
  3. Step 3: Cross multiply
    436,610x = 654,915.32 × 174,138.32
  4. Step 4: Simplify right side
    436,610x = 114,045,853,567.06
  5. Step 5: Solve for x
    x = 114,045,853,567.06/436,610
  6. Step 6: Final answer
    x = 261,207.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.