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Finding the Fourth Proportional to 365,403.58, 547,980.46 and 185,419.60

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Solution

The fourth proportional to 365,403.58, 547,980.46 and 185,419.60 is: 278,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,403.58 : 547,980.46 = 185,419.60 : x
  2. Step 2: Convert to fraction form
    365,403.58/547,980.46 = 185,419.60/x
  3. Step 3: Cross multiply
    365,403.58x = 547,980.46 × 185,419.60
  4. Step 4: Simplify right side
    365,403.58x = 101,606,315,867.52
  5. Step 5: Solve for x
    x = 101,606,315,867.52/365,403.58
  6. Step 6: Final answer
    x = 278,066.01

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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.