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Finding the Fourth Proportional to 349,564.01, 482,364.72 and 204,403.70

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Solution

The fourth proportional to 349,564.01, 482,364.72 and 204,403.70 is: 282,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,564.01 : 482,364.72 = 204,403.70 : x
  2. Step 2: Convert to fraction form
    349,564.01/482,364.72 = 204,403.70/x
  3. Step 3: Cross multiply
    349,564.01x = 482,364.72 × 204,403.70
  4. Step 4: Simplify right side
    349,564.01x = 98,597,134,723.38
  5. Step 5: Solve for x
    x = 98,597,134,723.38/349,564.01
  6. Step 6: Final answer
    x = 282,057.46

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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.