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Finding the Fourth Proportional to 361,702.16, 499,154.96 and 200,564.00

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Solution

The fourth proportional to 361,702.16, 499,154.96 and 200,564.00 is: 276,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,702.16 : 499,154.96 = 200,564.00 : x
  2. Step 2: Convert to fraction form
    361,702.16/499,154.96 = 200,564.00/x
  3. Step 3: Cross multiply
    361,702.16x = 499,154.96 × 200,564.00
  4. Step 4: Simplify right side
    361,702.16x = 100,112,513,403.08
  5. Step 5: Solve for x
    x = 100,112,513,403.08/361,702.16
  6. Step 6: Final answer
    x = 276,781.63

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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.