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Finding the Fourth Proportional to 268,476.80, 402,844.80 and 189,420.80

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Solution

The fourth proportional to 268,476.80, 402,844.80 and 189,420.80 is: 284,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,476.80 : 402,844.80 = 189,420.80 : x
  2. Step 2: Convert to fraction form
    268,476.80/402,844.80 = 189,420.80/x
  3. Step 3: Cross multiply
    268,476.80x = 402,844.80 × 189,420.80
  4. Step 4: Simplify right side
    268,476.80x = 76,307,184,291.84
  5. Step 5: Solve for x
    x = 76,307,184,291.84/268,476.80
  6. Step 6: Final answer
    x = 284,222.64

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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.