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Finding the Fourth Proportional to 328,317.92, 492,415.44 and 204,424.16

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Solution

The fourth proportional to 328,317.92, 492,415.44 and 204,424.16 is: 306,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,317.92 : 492,415.44 = 204,424.16 : x
  2. Step 2: Convert to fraction form
    328,317.92/492,415.44 = 204,424.16/x
  3. Step 3: Cross multiply
    328,317.92x = 492,415.44 × 204,424.16
  4. Step 4: Simplify right side
    328,317.92x = 100,661,612,693.03
  5. Step 5: Solve for x
    x = 100,661,612,693.03/328,317.92
  6. Step 6: Final answer
    x = 306,597.98

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1.5x scale

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.