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Finding the Fourth Proportional to 542,729.60, 814,094.40 and 353,772.80

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Solution

The fourth proportional to 542,729.60, 814,094.40 and 353,772.80 is: 530,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,729.60 : 814,094.40 = 353,772.80 : x
  2. Step 2: Convert to fraction form
    542,729.60/814,094.40 = 353,772.80/x
  3. Step 3: Cross multiply
    542,729.60x = 814,094.40 × 353,772.80
  4. Step 4: Simplify right side
    542,729.60x = 288,004,455,352.32
  5. Step 5: Solve for x
    x = 288,004,455,352.32/542,729.60
  6. Step 6: Final answer
    x = 530,659.20

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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.