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Finding the Fourth Proportional to 549,546.40, 824,319.60 and 234,035.20

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Solution

The fourth proportional to 549,546.40, 824,319.60 and 234,035.20 is: 351,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,546.40 : 824,319.60 = 234,035.20 : x
  2. Step 2: Convert to fraction form
    549,546.40/824,319.60 = 234,035.20/x
  3. Step 3: Cross multiply
    549,546.40x = 824,319.60 × 234,035.20
  4. Step 4: Simplify right side
    549,546.40x = 192,919,802,449.92
  5. Step 5: Solve for x
    x = 192,919,802,449.92/549,546.40
  6. Step 6: Final answer
    x = 351,052.80

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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.