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Finding the Fourth Proportional to 556,588.46, 768,092.28 and 314,865.92

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Solution

The fourth proportional to 556,588.46, 768,092.28 and 314,865.92 is: 434,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,588.46 : 768,092.28 = 314,865.92 : x
  2. Step 2: Convert to fraction form
    556,588.46/768,092.28 = 314,865.92/x
  3. Step 3: Cross multiply
    556,588.46x = 768,092.28 × 314,865.92
  4. Step 4: Simplify right side
    556,588.46x = 241,846,082,387.10
  5. Step 5: Solve for x
    x = 241,846,082,387.10/556,588.46
  6. Step 6: Final answer
    x = 434,515.09

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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.