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Finding the Fourth Proportional to 442,968.16, 664,501.92 and 162,484.60

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Solution

The fourth proportional to 442,968.16, 664,501.92 and 162,484.60 is: 243,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,968.16 : 664,501.92 = 162,484.60 : x
  2. Step 2: Convert to fraction form
    442,968.16/664,501.92 = 162,484.60/x
  3. Step 3: Cross multiply
    442,968.16x = 664,501.92 × 162,484.60
  4. Step 4: Simplify right side
    442,968.16x = 107,971,328,670.43
  5. Step 5: Solve for x
    x = 107,971,328,670.43/442,968.16
  6. Step 6: Final answer
    x = 243,745.12

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Why These Related Problems?

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