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Finding the Fourth Proportional to 543,319.20, 814,978.80 and 144,021.60

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Solution

The fourth proportional to 543,319.20, 814,978.80 and 144,021.60 is: 216,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,319.20 : 814,978.80 = 144,021.60 : x
  2. Step 2: Convert to fraction form
    543,319.20/814,978.80 = 144,021.60/x
  3. Step 3: Cross multiply
    543,319.20x = 814,978.80 × 144,021.60
  4. Step 4: Simplify right side
    543,319.20x = 117,374,550,742.08
  5. Step 5: Solve for x
    x = 117,374,550,742.08/543,319.20
  6. Step 6: Final answer
    x = 216,032.40

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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.