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Finding the Fourth Proportional to 341,457.28, 471,242.40 and 188,522.80

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Solution

The fourth proportional to 341,457.28, 471,242.40 and 188,522.80 is: 260,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,457.28 : 471,242.40 = 188,522.80 : x
  2. Step 2: Convert to fraction form
    341,457.28/471,242.40 = 188,522.80/x
  3. Step 3: Cross multiply
    341,457.28x = 471,242.40 × 188,522.80
  4. Step 4: Simplify right side
    341,457.28x = 88,839,936,726.72
  5. Step 5: Solve for x
    x = 88,839,936,726.72/341,457.28
  6. Step 6: Final answer
    x = 260,178.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.