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Finding the Fourth Proportional to 381,438.60, 572,417.10 and 212,958.60

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Solution

The fourth proportional to 381,438.60, 572,417.10 and 212,958.60 is: 319,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,438.60 : 572,417.10 = 212,958.60 : x
  2. Step 2: Convert to fraction form
    381,438.60/572,417.10 = 212,958.60/x
  3. Step 3: Cross multiply
    381,438.60x = 572,417.10 × 212,958.60
  4. Step 4: Simplify right side
    381,438.60x = 121,901,144,232.06
  5. Step 5: Solve for x
    x = 121,901,144,232.06/381,438.60
  6. Step 6: Final answer
    x = 319,582.61

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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.