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Finding the Fourth Proportional to 328,853.65, 493,294.19 and 104,209.11

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Solution

The fourth proportional to 328,853.65, 493,294.19 and 104,209.11 is: 156,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,853.65 : 493,294.19 = 104,209.11 : x
  2. Step 2: Convert to fraction form
    328,853.65/493,294.19 = 104,209.11/x
  3. Step 3: Cross multiply
    328,853.65x = 493,294.19 × 104,209.11
  4. Step 4: Simplify right side
    328,853.65x = 51,405,748,768.59
  5. Step 5: Solve for x
    x = 51,405,748,768.59/328,853.65
  6. Step 6: Final answer
    x = 156,318.01

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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.