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Finding the Fourth Proportional to 354,729.40, 532,094.10 and 236,015.80

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Solution

The fourth proportional to 354,729.40, 532,094.10 and 236,015.80 is: 354,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,729.40 : 532,094.10 = 236,015.80 : x
  2. Step 2: Convert to fraction form
    354,729.40/532,094.10 = 236,015.80/x
  3. Step 3: Cross multiply
    354,729.40x = 532,094.10 × 236,015.80
  4. Step 4: Simplify right side
    354,729.40x = 125,582,614,686.78
  5. Step 5: Solve for x
    x = 125,582,614,686.78/354,729.40
  6. Step 6: Final answer
    x = 354,023.70

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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.