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Finding the Fourth Proportional to 290,402.20, 435,020.10 and 195,923.80

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Solution

The fourth proportional to 290,402.20, 435,020.10 and 195,923.80 is: 293,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,402.20 : 435,020.10 = 195,923.80 : x
  2. Step 2: Convert to fraction form
    290,402.20/435,020.10 = 195,923.80/x
  3. Step 3: Cross multiply
    290,402.20x = 435,020.10 × 195,923.80
  4. Step 4: Simplify right side
    290,402.20x = 85,230,791,068.38
  5. Step 5: Solve for x
    x = 85,230,791,068.38/290,402.20
  6. Step 6: Final answer
    x = 293,492.24

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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.