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Finding the Fourth Proportional to 325,363.54, 488,360.26 and 157,002.16

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Solution

The fourth proportional to 325,363.54, 488,360.26 and 157,002.16 is: 235,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,363.54 : 488,360.26 = 157,002.16 : x
  2. Step 2: Convert to fraction form
    325,363.54/488,360.26 = 157,002.16/x
  3. Step 3: Cross multiply
    325,363.54x = 488,360.26 × 157,002.16
  4. Step 4: Simplify right side
    325,363.54x = 76,673,615,678.16
  5. Step 5: Solve for x
    x = 76,673,615,678.16/325,363.54
  6. Step 6: Final answer
    x = 235,655.22

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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.