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Finding the Fourth Proportional to 364,049.40, 546,074.10 and 238,078.20

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Solution

The fourth proportional to 364,049.40, 546,074.10 and 238,078.20 is: 357,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,049.40 : 546,074.10 = 238,078.20 : x
  2. Step 2: Convert to fraction form
    364,049.40/546,074.10 = 238,078.20/x
  3. Step 3: Cross multiply
    364,049.40x = 546,074.10 × 238,078.20
  4. Step 4: Simplify right side
    364,049.40x = 130,008,338,794.62
  5. Step 5: Solve for x
    x = 130,008,338,794.62/364,049.40
  6. Step 6: Final answer
    x = 357,117.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.