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Finding the Fourth Proportional to 485,742.40, 728,613.60 and 456,193.60

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Solution

The fourth proportional to 485,742.40, 728,613.60 and 456,193.60 is: 684,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,742.40 : 728,613.60 = 456,193.60 : x
  2. Step 2: Convert to fraction form
    485,742.40/728,613.60 = 456,193.60/x
  3. Step 3: Cross multiply
    485,742.40x = 728,613.60 × 456,193.60
  4. Step 4: Simplify right side
    485,742.40x = 332,388,861,192.96
  5. Step 5: Solve for x
    x = 332,388,861,192.96/485,742.40
  6. Step 6: Final answer
    x = 684,290.40

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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.