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Finding the Fourth Proportional to 328,536.96, 492,853.96 and 103,846.40

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Solution

The fourth proportional to 328,536.96, 492,853.96 and 103,846.40 is: 155,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,536.96 : 492,853.96 = 103,846.40 : x
  2. Step 2: Convert to fraction form
    328,536.96/492,853.96 = 103,846.40/x
  3. Step 3: Cross multiply
    328,536.96x = 492,853.96 × 103,846.40
  4. Step 4: Simplify right side
    328,536.96x = 51,181,109,471.74
  5. Step 5: Solve for x
    x = 51,181,109,471.74/328,536.96
  6. Step 6: Final answer
    x = 155,784.94

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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.