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Finding the Fourth Proportional to 514,419.30, 710,245.08 and 321,121.31

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Solution

The fourth proportional to 514,419.30, 710,245.08 and 321,121.31 is: 443,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,419.30 : 710,245.08 = 321,121.31 : x
  2. Step 2: Convert to fraction form
    514,419.30/710,245.08 = 321,121.31/x
  3. Step 3: Cross multiply
    514,419.30x = 710,245.08 × 321,121.31
  4. Step 4: Simplify right side
    514,419.30x = 228,074,826,959.43
  5. Step 5: Solve for x
    x = 228,074,826,959.43/514,419.30
  6. Step 6: Final answer
    x = 443,363.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.