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Finding the Fourth Proportional to 288,052.60, 431,714.40 and 110,322.40

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Solution

The fourth proportional to 288,052.60, 431,714.40 and 110,322.40 is: 165,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,052.60 : 431,714.40 = 110,322.40 : x
  2. Step 2: Convert to fraction form
    288,052.60/431,714.40 = 110,322.40/x
  3. Step 3: Cross multiply
    288,052.60x = 431,714.40 × 110,322.40
  4. Step 4: Simplify right side
    288,052.60x = 47,627,768,722.56
  5. Step 5: Solve for x
    x = 47,627,768,722.56/288,052.60
  6. Step 6: Final answer
    x = 165,344.00

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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.