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Finding the Fourth Proportional to 328,466.82, 492,717.82 and 103,810.16

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Solution

The fourth proportional to 328,466.82, 492,717.82 and 103,810.16 is: 155,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,466.82 : 492,717.82 = 103,810.16 : x
  2. Step 2: Convert to fraction form
    328,466.82/492,717.82 = 103,810.16/x
  3. Step 3: Cross multiply
    328,466.82x = 492,717.82 × 103,810.16
  4. Step 4: Simplify right side
    328,466.82x = 51,149,115,729.05
  5. Step 5: Solve for x
    x = 51,149,115,729.05/328,466.82
  6. Step 6: Final answer
    x = 155,720.80

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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.