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Finding the Fourth Proportional to 288,051.60, 431,712.90 and 110,321.40

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Solution

The fourth proportional to 288,051.60, 431,712.90 and 110,321.40 is: 165,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,051.60 : 431,712.90 = 110,321.40 : x
  2. Step 2: Convert to fraction form
    288,051.60/431,712.90 = 110,321.40/x
  3. Step 3: Cross multiply
    288,051.60x = 431,712.90 × 110,321.40
  4. Step 4: Simplify right side
    288,051.60x = 47,627,171,526.06
  5. Step 5: Solve for x
    x = 47,627,171,526.06/288,051.60
  6. Step 6: Final answer
    x = 165,342.50

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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.