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Finding the Fourth Proportional to 274,646.89, 411,637.67 and 116,543.20

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Solution

The fourth proportional to 274,646.89, 411,637.67 and 116,543.20 is: 174,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,646.89 : 411,637.67 = 116,543.20 : x
  2. Step 2: Convert to fraction form
    274,646.89/411,637.67 = 116,543.20/x
  3. Step 3: Cross multiply
    274,646.89x = 411,637.67 × 116,543.20
  4. Step 4: Simplify right side
    274,646.89x = 47,973,571,302.34
  5. Step 5: Solve for x
    x = 47,973,571,302.34/274,646.89
  6. Step 6: Final answer
    x = 174,673.64

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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.