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Finding the Fourth Proportional to 413,817.12, 571,068.24 and 234,969.12

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Solution

The fourth proportional to 413,817.12, 571,068.24 and 234,969.12 is: 324,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,817.12 : 571,068.24 = 234,969.12 : x
  2. Step 2: Convert to fraction form
    413,817.12/571,068.24 = 234,969.12/x
  3. Step 3: Cross multiply
    413,817.12x = 571,068.24 × 234,969.12
  4. Step 4: Simplify right side
    413,817.12x = 134,183,401,812.75
  5. Step 5: Solve for x
    x = 134,183,401,812.75/413,817.12
  6. Step 6: Final answer
    x = 324,257.73

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1.5x scale

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.