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Finding the Fourth Proportional to 406,042.10, 609,063.15 and 195,701.30

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Solution

The fourth proportional to 406,042.10, 609,063.15 and 195,701.30 is: 293,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,042.10 : 609,063.15 = 195,701.30 : x
  2. Step 2: Convert to fraction form
    406,042.10/609,063.15 = 195,701.30/x
  3. Step 3: Cross multiply
    406,042.10x = 609,063.15 × 195,701.30
  4. Step 4: Simplify right side
    406,042.10x = 119,194,450,237.10
  5. Step 5: Solve for x
    x = 119,194,450,237.10/406,042.10
  6. Step 6: Final answer
    x = 293,551.95

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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.