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Finding the Fourth Proportional to 325,397.76, 487,301.76 and 200,567.04

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Solution

The fourth proportional to 325,397.76, 487,301.76 and 200,567.04 is: 300,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,397.76 : 487,301.76 = 200,567.04 : x
  2. Step 2: Convert to fraction form
    325,397.76/487,301.76 = 200,567.04/x
  3. Step 3: Cross multiply
    325,397.76x = 487,301.76 × 200,567.04
  4. Step 4: Simplify right side
    325,397.76x = 97,736,671,589.99
  5. Step 5: Solve for x
    x = 97,736,671,589.99/325,397.76
  6. Step 6: Final answer
    x = 300,360.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.