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Finding the Fourth Proportional to 432,203.25, 648,308.52 and 151,720.50

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Solution

The fourth proportional to 432,203.25, 648,308.52 and 151,720.50 is: 227,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,203.25 : 648,308.52 = 151,720.50 : x
  2. Step 2: Convert to fraction form
    432,203.25/648,308.52 = 151,720.50/x
  3. Step 3: Cross multiply
    432,203.25x = 648,308.52 × 151,720.50
  4. Step 4: Simplify right side
    432,203.25x = 98,361,692,808.66
  5. Step 5: Solve for x
    x = 98,361,692,808.66/432,203.25
  6. Step 6: Final answer
    x = 227,582.03

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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.