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Finding the Fourth Proportional to 328,052.30, 492,078.45 and 162,164.30

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Solution

The fourth proportional to 328,052.30, 492,078.45 and 162,164.30 is: 243,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,052.30 : 492,078.45 = 162,164.30 : x
  2. Step 2: Convert to fraction form
    328,052.30/492,078.45 = 162,164.30/x
  3. Step 3: Cross multiply
    328,052.30x = 492,078.45 × 162,164.30
  4. Step 4: Simplify right side
    328,052.30x = 79,797,557,389.34
  5. Step 5: Solve for x
    x = 79,797,557,389.34/328,052.30
  6. Step 6: Final answer
    x = 243,246.45

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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.