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Finding the Fourth Proportional to 402,196.80, 603,295.20 and 165,460.80

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Solution

The fourth proportional to 402,196.80, 603,295.20 and 165,460.80 is: 248,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,196.80 : 603,295.20 = 165,460.80 : x
  2. Step 2: Convert to fraction form
    402,196.80/603,295.20 = 165,460.80/x
  3. Step 3: Cross multiply
    402,196.80x = 603,295.20 × 165,460.80
  4. Step 4: Simplify right side
    402,196.80x = 99,821,706,428.16
  5. Step 5: Solve for x
    x = 99,821,706,428.16/402,196.80
  6. Step 6: Final answer
    x = 248,191.20

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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.