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Finding the Fourth Proportional to 742,613.54, 1,024,630.98 and 420,323.60

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Solution

The fourth proportional to 742,613.54, 1,024,630.98 and 420,323.60 is: 579,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,613.54 : 1,024,630.98 = 420,323.60 : x
  2. Step 2: Convert to fraction form
    742,613.54/1,024,630.98 = 420,323.60/x
  3. Step 3: Cross multiply
    742,613.54x = 1,024,630.98 × 420,323.60
  4. Step 4: Simplify right side
    742,613.54x = 430,676,582,185.13
  5. Step 5: Solve for x
    x = 430,676,582,185.13/742,613.54
  6. Step 6: Final answer
    x = 579,947.12

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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.